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Finding the Third Proportional to 387,049 and 598,071

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Solution

The third proportional to 387,049 and 598,071 is: 924,143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,049 : 598,071 = 598,071 : x
  2. Step 2: Convert to fraction form
    387,049/598,071 = 598,071/x
  3. Step 3: Cross multiply
    387,049x = 598,071 × 598,071
  4. Step 4: Simplify right side
    387,049x = 357,688,921,041
  5. Step 5: Solve for x
    x = 357,688,921,041/387,049
  6. Step 6: Final answer
    x = 924,143.77

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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.