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Finding the Third Proportional to 696,766.50 and 1,018,264.50

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Solution

The third proportional to 696,766.50 and 1,018,264.50 is: 1,488,106.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,766.50 : 1,018,264.50 = 1,018,264.50 : x
  2. Step 2: Convert to fraction form
    696,766.50/1,018,264.50 = 1,018,264.50/x
  3. Step 3: Cross multiply
    696,766.50x = 1,018,264.50 × 1,018,264.50
  4. Step 4: Simplify right side
    696,766.50x = 1,036,862,591,960.25
  5. Step 5: Solve for x
    x = 1,036,862,591,960.25/696,766.50
  6. Step 6: Final answer
    x = 1,488,106.26

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.