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Finding the Third Proportional to 316,294.50 and 697,380

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Solution

The third proportional to 316,294.50 and 697,380 is: 1,537,614.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,294.50 : 697,380 = 697,380 : x
  2. Step 2: Convert to fraction form
    316,294.50/697,380 = 697,380/x
  3. Step 3: Cross multiply
    316,294.50x = 697,380 × 697,380
  4. Step 4: Simplify right side
    316,294.50x = 486,338,864,400
  5. Step 5: Solve for x
    x = 486,338,864,400/316,294.50
  6. Step 6: Final answer
    x = 1,537,614.04

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.