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Finding the Third Proportional to 424,058.50 and 594,314

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Solution

The third proportional to 424,058.50 and 594,314 is: 832,925.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,058.50 : 594,314 = 594,314 : x
  2. Step 2: Convert to fraction form
    424,058.50/594,314 = 594,314/x
  3. Step 3: Cross multiply
    424,058.50x = 594,314 × 594,314
  4. Step 4: Simplify right side
    424,058.50x = 353,209,130,596
  5. Step 5: Solve for x
    x = 353,209,130,596/424,058.50
  6. Step 6: Final answer
    x = 832,925.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.