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Finding the Third Proportional to 474,141 and 708,402

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Solution

The third proportional to 474,141 and 708,402 is: 1,058,405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,141 : 708,402 = 708,402 : x
  2. Step 2: Convert to fraction form
    474,141/708,402 = 708,402/x
  3. Step 3: Cross multiply
    474,141x = 708,402 × 708,402
  4. Step 4: Simplify right side
    474,141x = 501,833,393,604
  5. Step 5: Solve for x
    x = 501,833,393,604/474,141
  6. Step 6: Final answer
    x = 1,058,405.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.