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Finding the Third Proportional to 295,785 and 637,362

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Solution

The third proportional to 295,785 and 637,362 is: 1,373,397.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,785 : 637,362 = 637,362 : x
  2. Step 2: Convert to fraction form
    295,785/637,362 = 637,362/x
  3. Step 3: Cross multiply
    295,785x = 637,362 × 637,362
  4. Step 4: Simplify right side
    295,785x = 406,230,319,044
  5. Step 5: Solve for x
    x = 406,230,319,044/295,785
  6. Step 6: Final answer
    x = 1,373,397.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.