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Finding the Third Proportional to 316,291.50 and 697,374

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Solution

The third proportional to 316,291.50 and 697,374 is: 1,537,602.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,291.50 : 697,374 = 697,374 : x
  2. Step 2: Convert to fraction form
    316,291.50/697,374 = 697,374/x
  3. Step 3: Cross multiply
    316,291.50x = 697,374 × 697,374
  4. Step 4: Simplify right side
    316,291.50x = 486,330,495,876
  5. Step 5: Solve for x
    x = 486,330,495,876/316,291.50
  6. Step 6: Final answer
    x = 1,537,602.17

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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.