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Finding the Third Proportional to 398,880,637.57 and 596,122,507.98

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Solution

The third proportional to 398,880,637.57 and 596,122,507.98 is: 890,898,206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,880,637.57 : 596,122,507.98 = 596,122,507.98 : x
  2. Step 2: Convert to fraction form
    398,880,637.57/596,122,507.98 = 596,122,507.98/x
  3. Step 3: Cross multiply
    398,880,637.57x = 596,122,507.98 × 596,122,507.98
  4. Step 4: Simplify right side
    398,880,637.57x = 355,362,044,514,821,248
  5. Step 5: Solve for x
    x = 355,362,044,514,821,248/398,880,637.57
  6. Step 6: Final answer
    x = 890,898,206.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.