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Finding the Third Proportional to 302,718 and 648,901.50

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Solution

The third proportional to 302,718 and 648,901.50 is: 1,390,974.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,718 : 648,901.50 = 648,901.50 : x
  2. Step 2: Convert to fraction form
    302,718/648,901.50 = 648,901.50/x
  3. Step 3: Cross multiply
    302,718x = 648,901.50 × 648,901.50
  4. Step 4: Simplify right side
    302,718x = 421,073,156,702.25
  5. Step 5: Solve for x
    x = 421,073,156,702.25/302,718
  6. Step 6: Final answer
    x = 1,390,974.96

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.