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Finding the Third Proportional to 476,577 and 742,999

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Solution

The third proportional to 476,577 and 742,999 is: 1,158,359.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,577 : 742,999 = 742,999 : x
  2. Step 2: Convert to fraction form
    476,577/742,999 = 742,999/x
  3. Step 3: Cross multiply
    476,577x = 742,999 × 742,999
  4. Step 4: Simplify right side
    476,577x = 552,047,514,001
  5. Step 5: Solve for x
    x = 552,047,514,001/476,577
  6. Step 6: Final answer
    x = 1,158,359.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.