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Finding the Third Proportional to 648,016 and 872,354

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Solution

The third proportional to 648,016 and 872,354 is: 1,174,356.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,016 : 872,354 = 872,354 : x
  2. Step 2: Convert to fraction form
    648,016/872,354 = 872,354/x
  3. Step 3: Cross multiply
    648,016x = 872,354 × 872,354
  4. Step 4: Simplify right side
    648,016x = 761,001,501,316
  5. Step 5: Solve for x
    x = 761,001,501,316/648,016
  6. Step 6: Final answer
    x = 1,174,356.04

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.