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Finding the Third Proportional to 506,191.50 and 712,023

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Solution

The third proportional to 506,191.50 and 712,023 is: 1,001,551.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,191.50 : 712,023 = 712,023 : x
  2. Step 2: Convert to fraction form
    506,191.50/712,023 = 712,023/x
  3. Step 3: Cross multiply
    506,191.50x = 712,023 × 712,023
  4. Step 4: Simplify right side
    506,191.50x = 506,976,752,529
  5. Step 5: Solve for x
    x = 506,976,752,529/506,191.50
  6. Step 6: Final answer
    x = 1,001,551.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.