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Finding the Third Proportional to 526,531.50 and 782,050.50

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Solution

The third proportional to 526,531.50 and 782,050.50 is: 1,161,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,531.50 : 782,050.50 = 782,050.50 : x
  2. Step 2: Convert to fraction form
    526,531.50/782,050.50 = 782,050.50/x
  3. Step 3: Cross multiply
    526,531.50x = 782,050.50 × 782,050.50
  4. Step 4: Simplify right side
    526,531.50x = 611,602,984,550.25
  5. Step 5: Solve for x
    x = 611,602,984,550.25/526,531.50
  6. Step 6: Final answer
    x = 1,161,569.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.