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Finding the Third Proportional to 298,624.50 and 647,061.75

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Solution

The third proportional to 298,624.50 and 647,061.75 is: 1,402,058.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,624.50 : 647,061.75 = 647,061.75 : x
  2. Step 2: Convert to fraction form
    298,624.50/647,061.75 = 647,061.75/x
  3. Step 3: Cross multiply
    298,624.50x = 647,061.75 × 647,061.75
  4. Step 4: Simplify right side
    298,624.50x = 418,688,908,313.06
  5. Step 5: Solve for x
    x = 418,688,908,313.06/298,624.50
  6. Step 6: Final answer
    x = 1,402,058.13

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.