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Finding the Third Proportional to 584,000 and 645,440

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Solution

The third proportional to 584,000 and 645,440 is: 713,343.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,000 : 645,440 = 645,440 : x
  2. Step 2: Convert to fraction form
    584,000/645,440 = 645,440/x
  3. Step 3: Cross multiply
    584,000x = 645,440 × 645,440
  4. Step 4: Simplify right side
    584,000x = 416,592,793,600
  5. Step 5: Solve for x
    x = 416,592,793,600/584,000
  6. Step 6: Final answer
    x = 713,343.82

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.