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Finding the Third Proportional to 648,014 and 872,352

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Solution

The third proportional to 648,014 and 872,352 is: 1,174,354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,014 : 872,352 = 872,352 : x
  2. Step 2: Convert to fraction form
    648,014/872,352 = 872,352/x
  3. Step 3: Cross multiply
    648,014x = 872,352 × 872,352
  4. Step 4: Simplify right side
    648,014x = 760,998,011,904
  5. Step 5: Solve for x
    x = 760,998,011,904/648,014
  6. Step 6: Final answer
    x = 1,174,354.28

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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.