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Finding the Third Proportional to 688,429 and 991,531.50

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Solution

The third proportional to 688,429 and 991,531.50 is: 1,428,084.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,429 : 991,531.50 = 991,531.50 : x
  2. Step 2: Convert to fraction form
    688,429/991,531.50 = 991,531.50/x
  3. Step 3: Cross multiply
    688,429x = 991,531.50 × 991,531.50
  4. Step 4: Simplify right side
    688,429x = 983,134,715,492.25
  5. Step 5: Solve for x
    x = 983,134,715,492.25/688,429
  6. Step 6: Final answer
    x = 1,428,084.40

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.