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Finding the Third Proportional to 555,103.13 and 830,417.06

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Solution

The third proportional to 555,103.13 and 830,417.06 is: 1,242,278.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,103.13 : 830,417.06 = 830,417.06 : x
  2. Step 2: Convert to fraction form
    555,103.13/830,417.06 = 830,417.06/x
  3. Step 3: Cross multiply
    555,103.13x = 830,417.06 × 830,417.06
  4. Step 4: Simplify right side
    555,103.13x = 689,592,497,691.13
  5. Step 5: Solve for x
    x = 689,592,497,691.13/555,103.13
  6. Step 6: Final answer
    x = 1,242,278.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.