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Finding the Third Proportional to 302,715 and 473,836.50

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Solution

The third proportional to 302,715 and 473,836.50 is: 741,691.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,715 : 473,836.50 = 473,836.50 : x
  2. Step 2: Convert to fraction form
    302,715/473,836.50 = 473,836.50/x
  3. Step 3: Cross multiply
    302,715x = 473,836.50 × 473,836.50
  4. Step 4: Simplify right side
    302,715x = 224,521,028,732.25
  5. Step 5: Solve for x
    x = 224,521,028,732.25/302,715
  6. Step 6: Final answer
    x = 741,691.12

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.