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Finding the Third Proportional to 480,825.75 and 761,376

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Solution

The third proportional to 480,825.75 and 761,376 is: 1,205,620.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,825.75 : 761,376 = 761,376 : x
  2. Step 2: Convert to fraction form
    480,825.75/761,376 = 761,376/x
  3. Step 3: Cross multiply
    480,825.75x = 761,376 × 761,376
  4. Step 4: Simplify right side
    480,825.75x = 579,693,413,376
  5. Step 5: Solve for x
    x = 579,693,413,376/480,825.75
  6. Step 6: Final answer
    x = 1,205,620.57

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.