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Finding the Third Proportional to 299,552 and 455,476

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Solution

The third proportional to 299,552 and 455,476 is: 692,562.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,552 : 455,476 = 455,476 : x
  2. Step 2: Convert to fraction form
    299,552/455,476 = 455,476/x
  3. Step 3: Cross multiply
    299,552x = 455,476 × 455,476
  4. Step 4: Simplify right side
    299,552x = 207,458,386,576
  5. Step 5: Solve for x
    x = 207,458,386,576/299,552
  6. Step 6: Final answer
    x = 692,562.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.