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Finding the Third Proportional to 441,748 and 700,616

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Solution

The third proportional to 441,748 and 700,616 is: 1,111,182.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,748 : 700,616 = 700,616 : x
  2. Step 2: Convert to fraction form
    441,748/700,616 = 700,616/x
  3. Step 3: Cross multiply
    441,748x = 700,616 × 700,616
  4. Step 4: Simplify right side
    441,748x = 490,862,779,456
  5. Step 5: Solve for x
    x = 490,862,779,456/441,748
  6. Step 6: Final answer
    x = 1,111,182.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.