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Finding the Third Proportional to 342,307.27 and 732,103.95

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Solution

The third proportional to 342,307.27 and 732,103.95 is: 1,565,775.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,307.27 : 732,103.95 = 732,103.95 : x
  2. Step 2: Convert to fraction form
    342,307.27/732,103.95 = 732,103.95/x
  3. Step 3: Cross multiply
    342,307.27x = 732,103.95 × 732,103.95
  4. Step 4: Simplify right side
    342,307.27x = 535,976,186,742.13
  5. Step 5: Solve for x
    x = 535,976,186,742.13/342,307.27
  6. Step 6: Final answer
    x = 1,565,775.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.