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Finding the Third Proportional to 473,488 and 637,938

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Solution

The third proportional to 473,488 and 637,938 is: 859,504.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,488 : 637,938 = 637,938 : x
  2. Step 2: Convert to fraction form
    473,488/637,938 = 637,938/x
  3. Step 3: Cross multiply
    473,488x = 637,938 × 637,938
  4. Step 4: Simplify right side
    473,488x = 406,964,891,844
  5. Step 5: Solve for x
    x = 406,964,891,844/473,488
  6. Step 6: Final answer
    x = 859,504.13

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.