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Finding the Third Proportional to 240,547 and 516,632

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Solution

The third proportional to 240,547 and 516,632 is: 1,109,590.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,547 : 516,632 = 516,632 : x
  2. Step 2: Convert to fraction form
    240,547/516,632 = 516,632/x
  3. Step 3: Cross multiply
    240,547x = 516,632 × 516,632
  4. Step 4: Simplify right side
    240,547x = 266,908,623,424
  5. Step 5: Solve for x
    x = 266,908,623,424/240,547
  6. Step 6: Final answer
    x = 1,109,590.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.