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Finding the Third Proportional to 469,410 and 706,363

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Solution

The third proportional to 469,410 and 706,363 is: 1,062,927.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,410 : 706,363 = 706,363 : x
  2. Step 2: Convert to fraction form
    469,410/706,363 = 706,363/x
  3. Step 3: Cross multiply
    469,410x = 706,363 × 706,363
  4. Step 4: Simplify right side
    469,410x = 498,948,687,769
  5. Step 5: Solve for x
    x = 498,948,687,769/469,410
  6. Step 6: Final answer
    x = 1,062,927.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.