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Finding the Third Proportional to 502,774 and 703,281.50

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Solution

The third proportional to 502,774 and 703,281.50 is: 983,751.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,774 : 703,281.50 = 703,281.50 : x
  2. Step 2: Convert to fraction form
    502,774/703,281.50 = 703,281.50/x
  3. Step 3: Cross multiply
    502,774x = 703,281.50 × 703,281.50
  4. Step 4: Simplify right side
    502,774x = 494,604,868,242.25
  5. Step 5: Solve for x
    x = 494,604,868,242.25/502,774
  6. Step 6: Final answer
    x = 983,751.88

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.