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Finding the Third Proportional to 404,482 and 865,776

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Solution

The third proportional to 404,482 and 865,776 is: 1,853,155.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,482 : 865,776 = 865,776 : x
  2. Step 2: Convert to fraction form
    404,482/865,776 = 865,776/x
  3. Step 3: Cross multiply
    404,482x = 865,776 × 865,776
  4. Step 4: Simplify right side
    404,482x = 749,568,082,176
  5. Step 5: Solve for x
    x = 749,568,082,176/404,482
  6. Step 6: Final answer
    x = 1,853,155.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.