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Finding the Third Proportional to 316,521 and 747,184.50

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Solution

The third proportional to 316,521 and 747,184.50 is: 1,763,815.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,521 : 747,184.50 = 747,184.50 : x
  2. Step 2: Convert to fraction form
    316,521/747,184.50 = 747,184.50/x
  3. Step 3: Cross multiply
    316,521x = 747,184.50 × 747,184.50
  4. Step 4: Simplify right side
    316,521x = 558,284,677,040.25
  5. Step 5: Solve for x
    x = 558,284,677,040.25/316,521
  6. Step 6: Final answer
    x = 1,763,815.60

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.