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Finding the Third Proportional to 469,476 and 702,414

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Solution

The third proportional to 469,476 and 702,414 is: 1,050,927.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,476 : 702,414 = 702,414 : x
  2. Step 2: Convert to fraction form
    469,476/702,414 = 702,414/x
  3. Step 3: Cross multiply
    469,476x = 702,414 × 702,414
  4. Step 4: Simplify right side
    469,476x = 493,385,427,396
  5. Step 5: Solve for x
    x = 493,385,427,396/469,476
  6. Step 6: Final answer
    x = 1,050,927.90

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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.