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Finding the Third Proportional to 523,275.75 and 710,160.75

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Solution

The third proportional to 523,275.75 and 710,160.75 is: 963,790.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,275.75 : 710,160.75 = 710,160.75 : x
  2. Step 2: Convert to fraction form
    523,275.75/710,160.75 = 710,160.75/x
  3. Step 3: Cross multiply
    523,275.75x = 710,160.75 × 710,160.75
  4. Step 4: Simplify right side
    523,275.75x = 504,328,290,840.56
  5. Step 5: Solve for x
    x = 504,328,290,840.56/523,275.75
  6. Step 6: Final answer
    x = 963,790.68

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.