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Finding the Third Proportional to 651,307.50 and 930,520.13

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Solution

The third proportional to 651,307.50 and 930,520.13 is: 1,329,429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,307.50 : 930,520.13 = 930,520.13 : x
  2. Step 2: Convert to fraction form
    651,307.50/930,520.13 = 930,520.13/x
  3. Step 3: Cross multiply
    651,307.50x = 930,520.13 × 930,520.13
  4. Step 4: Simplify right side
    651,307.50x = 865,867,703,030.02
  5. Step 5: Solve for x
    x = 865,867,703,030.02/651,307.50
  6. Step 6: Final answer
    x = 1,329,429.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.