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Finding the Third Proportional to 474,151 and 708,417

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Solution

The third proportional to 474,151 and 708,417 is: 1,058,427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,151 : 708,417 = 708,417 : x
  2. Step 2: Convert to fraction form
    474,151/708,417 = 708,417/x
  3. Step 3: Cross multiply
    474,151x = 708,417 × 708,417
  4. Step 4: Simplify right side
    474,151x = 501,854,645,889
  5. Step 5: Solve for x
    x = 501,854,645,889/474,151
  6. Step 6: Final answer
    x = 1,058,427.90

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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.