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Finding the Third Proportional to 346,681.50 and 532,638

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Solution

The third proportional to 346,681.50 and 532,638 is: 818,339.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,681.50 : 532,638 = 532,638 : x
  2. Step 2: Convert to fraction form
    346,681.50/532,638 = 532,638/x
  3. Step 3: Cross multiply
    346,681.50x = 532,638 × 532,638
  4. Step 4: Simplify right side
    346,681.50x = 283,703,239,044
  5. Step 5: Solve for x
    x = 283,703,239,044/346,681.50
  6. Step 6: Final answer
    x = 818,339.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.