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Finding the Third Proportional to 687,084.50 and 1,010,079.75

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Solution

The third proportional to 687,084.50 and 1,010,079.75 is: 1,484,913.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,084.50 : 1,010,079.75 = 1,010,079.75 : x
  2. Step 2: Convert to fraction form
    687,084.50/1,010,079.75 = 1,010,079.75/x
  3. Step 3: Cross multiply
    687,084.50x = 1,010,079.75 × 1,010,079.75
  4. Step 4: Simplify right side
    687,084.50x = 1,020,261,101,360.06
  5. Step 5: Solve for x
    x = 1,020,261,101,360.06/687,084.50
  6. Step 6: Final answer
    x = 1,484,913.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.