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Finding the Third Proportional to 563,710 and 872,475

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Solution

The third proportional to 563,710 and 872,475 is: 1,350,362.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,710 : 872,475 = 872,475 : x
  2. Step 2: Convert to fraction form
    563,710/872,475 = 872,475/x
  3. Step 3: Cross multiply
    563,710x = 872,475 × 872,475
  4. Step 4: Simplify right side
    563,710x = 761,212,625,625
  5. Step 5: Solve for x
    x = 761,212,625,625/563,710
  6. Step 6: Final answer
    x = 1,350,362.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.