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Finding the Third Proportional to 523,071 and 808,265.25

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Solution

The third proportional to 523,071 and 808,265.25 is: 1,248,956.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,071 : 808,265.25 = 808,265.25 : x
  2. Step 2: Convert to fraction form
    523,071/808,265.25 = 808,265.25/x
  3. Step 3: Cross multiply
    523,071x = 808,265.25 × 808,265.25
  4. Step 4: Simplify right side
    523,071x = 653,292,714,357.56
  5. Step 5: Solve for x
    x = 653,292,714,357.56/523,071
  6. Step 6: Final answer
    x = 1,248,956.10

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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.