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Finding the Third Proportional to 469,348 and 672,576

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Solution

The third proportional to 469,348 and 672,576 is: 963,801.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,348 : 672,576 = 672,576 : x
  2. Step 2: Convert to fraction form
    469,348/672,576 = 672,576/x
  3. Step 3: Cross multiply
    469,348x = 672,576 × 672,576
  4. Step 4: Simplify right side
    469,348x = 452,358,475,776
  5. Step 5: Solve for x
    x = 452,358,475,776/469,348
  6. Step 6: Final answer
    x = 963,801.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.