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Finding the Third Proportional to 473,481 and 637,927.50

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Solution

The third proportional to 473,481 and 637,927.50 is: 859,488.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,481 : 637,927.50 = 637,927.50 : x
  2. Step 2: Convert to fraction form
    473,481/637,927.50 = 637,927.50/x
  3. Step 3: Cross multiply
    473,481x = 637,927.50 × 637,927.50
  4. Step 4: Simplify right side
    473,481x = 406,951,495,256.25
  5. Step 5: Solve for x
    x = 406,951,495,256.25/473,481
  6. Step 6: Final answer
    x = 859,488.54

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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.