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Finding the Third Proportional to 373,666.50 and 817,470

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Solution

The third proportional to 373,666.50 and 817,470 is: 1,788,378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,666.50 : 817,470 = 817,470 : x
  2. Step 2: Convert to fraction form
    373,666.50/817,470 = 817,470/x
  3. Step 3: Cross multiply
    373,666.50x = 817,470 × 817,470
  4. Step 4: Simplify right side
    373,666.50x = 668,257,200,900
  5. Step 5: Solve for x
    x = 668,257,200,900/373,666.50
  6. Step 6: Final answer
    x = 1,788,378.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.