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Finding the Third Proportional to 517,374.50 and 772,875.75

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Solution

The third proportional to 517,374.50 and 772,875.75 is: 1,154,554.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,374.50 : 772,875.75 = 772,875.75 : x
  2. Step 2: Convert to fraction form
    517,374.50/772,875.75 = 772,875.75/x
  3. Step 3: Cross multiply
    517,374.50x = 772,875.75 × 772,875.75
  4. Step 4: Simplify right side
    517,374.50x = 597,336,924,938.06
  5. Step 5: Solve for x
    x = 597,336,924,938.06/517,374.50
  6. Step 6: Final answer
    x = 1,154,554.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.