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Finding the Third Proportional to 617,240,658 and 940,331,542.50

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Solution

The third proportional to 617,240,658 and 940,331,542.50 is: 1,432,542,393.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,240,658 : 940,331,542.50 = 940,331,542.50 : x
  2. Step 2: Convert to fraction form
    617,240,658/940,331,542.50 = 940,331,542.50/x
  3. Step 3: Cross multiply
    617,240,658x = 940,331,542.50 × 940,331,542.50
  4. Step 4: Simplify right side
    617,240,658x = 884,223,409,820,429,312
  5. Step 5: Solve for x
    x = 884,223,409,820,429,312/617,240,658
  6. Step 6: Final answer
    x = 1,432,542,393.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.