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Finding the Third Proportional to 469,312 and 672,534

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Solution

The third proportional to 469,312 and 672,534 is: 963,755.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,312 : 672,534 = 672,534 : x
  2. Step 2: Convert to fraction form
    469,312/672,534 = 672,534/x
  3. Step 3: Cross multiply
    469,312x = 672,534 × 672,534
  4. Step 4: Simplify right side
    469,312x = 452,301,981,156
  5. Step 5: Solve for x
    x = 452,301,981,156/469,312
  6. Step 6: Final answer
    x = 963,755.41

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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.