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Finding the Third Proportional to 528,012 and 817,951.50

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Solution

The third proportional to 528,012 and 817,951.50 is: 1,267,101.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,012 : 817,951.50 = 817,951.50 : x
  2. Step 2: Convert to fraction form
    528,012/817,951.50 = 817,951.50/x
  3. Step 3: Cross multiply
    528,012x = 817,951.50 × 817,951.50
  4. Step 4: Simplify right side
    528,012x = 669,044,656,352.25
  5. Step 5: Solve for x
    x = 669,044,656,352.25/528,012
  6. Step 6: Final answer
    x = 1,267,101.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.