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Finding the Third Proportional to 280,588 and 613,748

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Solution

The third proportional to 280,588 and 613,748 is: 1,342,490.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,588 : 613,748 = 613,748 : x
  2. Step 2: Convert to fraction form
    280,588/613,748 = 613,748/x
  3. Step 3: Cross multiply
    280,588x = 613,748 × 613,748
  4. Step 4: Simplify right side
    280,588x = 376,686,607,504
  5. Step 5: Solve for x
    x = 376,686,607,504/280,588
  6. Step 6: Final answer
    x = 1,342,490.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.