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Finding the Third Proportional to 338,526 and 723,708

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Solution

The third proportional to 338,526 and 723,708 is: 1,547,158.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,526 : 723,708 = 723,708 : x
  2. Step 2: Convert to fraction form
    338,526/723,708 = 723,708/x
  3. Step 3: Cross multiply
    338,526x = 723,708 × 723,708
  4. Step 4: Simplify right side
    338,526x = 523,753,269,264
  5. Step 5: Solve for x
    x = 523,753,269,264/338,526
  6. Step 6: Final answer
    x = 1,547,158.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.