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Finding the Third Proportional to 343,498 and 732,646

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Solution

The third proportional to 343,498 and 732,646 is: 1,562,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,498 : 732,646 = 732,646 : x
  2. Step 2: Convert to fraction form
    343,498/732,646 = 732,646/x
  3. Step 3: Cross multiply
    343,498x = 732,646 × 732,646
  4. Step 4: Simplify right side
    343,498x = 536,770,161,316
  5. Step 5: Solve for x
    x = 536,770,161,316/343,498
  6. Step 6: Final answer
    x = 1,562,658.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.