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Finding the Third Proportional to 478,416 and 740,298

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Solution

The third proportional to 478,416 and 740,298 is: 1,145,532.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,416 : 740,298 = 740,298 : x
  2. Step 2: Convert to fraction form
    478,416/740,298 = 740,298/x
  3. Step 3: Cross multiply
    478,416x = 740,298 × 740,298
  4. Step 4: Simplify right side
    478,416x = 548,041,128,804
  5. Step 5: Solve for x
    x = 548,041,128,804/478,416
  6. Step 6: Final answer
    x = 1,145,532.61

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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.