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Finding the Third Proportional to 469,889 and 756,594

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Solution

The third proportional to 469,889 and 756,594 is: 1,218,233.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,889 : 756,594 = 756,594 : x
  2. Step 2: Convert to fraction form
    469,889/756,594 = 756,594/x
  3. Step 3: Cross multiply
    469,889x = 756,594 × 756,594
  4. Step 4: Simplify right side
    469,889x = 572,434,480,836
  5. Step 5: Solve for x
    x = 572,434,480,836/469,889
  6. Step 6: Final answer
    x = 1,218,233.41

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.