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Finding the Third Proportional to 482,422.50 and 728,547.75

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Solution

The third proportional to 482,422.50 and 728,547.75 is: 1,100,242.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,422.50 : 728,547.75 = 728,547.75 : x
  2. Step 2: Convert to fraction form
    482,422.50/728,547.75 = 728,547.75/x
  3. Step 3: Cross multiply
    482,422.50x = 728,547.75 × 728,547.75
  4. Step 4: Simplify right side
    482,422.50x = 530,781,824,030.06
  5. Step 5: Solve for x
    x = 530,781,824,030.06/482,422.50
  6. Step 6: Final answer
    x = 1,100,242.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.