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Finding the Third Proportional to 504,943 and 758,712

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Solution

The third proportional to 504,943 and 758,712 is: 1,140,017.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,943 : 758,712 = 758,712 : x
  2. Step 2: Convert to fraction form
    504,943/758,712 = 758,712/x
  3. Step 3: Cross multiply
    504,943x = 758,712 × 758,712
  4. Step 4: Simplify right side
    504,943x = 575,643,898,944
  5. Step 5: Solve for x
    x = 575,643,898,944/504,943
  6. Step 6: Final answer
    x = 1,140,017.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.