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Finding the Third Proportional to 552,610.69 and 830,967.19

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Solution

The third proportional to 552,610.69 and 830,967.19 is: 1,249,535.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,610.69 : 830,967.19 = 830,967.19 : x
  2. Step 2: Convert to fraction form
    552,610.69/830,967.19 = 830,967.19/x
  3. Step 3: Cross multiply
    552,610.69x = 830,967.19 × 830,967.19
  4. Step 4: Simplify right side
    552,610.69x = 690,506,466,701.66
  5. Step 5: Solve for x
    x = 690,506,466,701.66/552,610.69
  6. Step 6: Final answer
    x = 1,249,535.13

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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.