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Finding the Third Proportional to 482,689.50 and 655,547.25

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Solution

The third proportional to 482,689.50 and 655,547.25 is: 890,307.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,689.50 : 655,547.25 = 655,547.25 : x
  2. Step 2: Convert to fraction form
    482,689.50/655,547.25 = 655,547.25/x
  3. Step 3: Cross multiply
    482,689.50x = 655,547.25 × 655,547.25
  4. Step 4: Simplify right side
    482,689.50x = 429,742,196,982.56
  5. Step 5: Solve for x
    x = 429,742,196,982.56/482,689.50
  6. Step 6: Final answer
    x = 890,307.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.