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Finding the Third Proportional to 582,547.50 and 787,059

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Solution

The third proportional to 582,547.50 and 787,059 is: 1,063,367.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,547.50 : 787,059 = 787,059 : x
  2. Step 2: Convert to fraction form
    582,547.50/787,059 = 787,059/x
  3. Step 3: Cross multiply
    582,547.50x = 787,059 × 787,059
  4. Step 4: Simplify right side
    582,547.50x = 619,461,869,481
  5. Step 5: Solve for x
    x = 619,461,869,481/582,547.50
  6. Step 6: Final answer
    x = 1,063,367.14

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.