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Finding the Third Proportional to 478,612 and 740,997

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Solution

The third proportional to 478,612 and 740,997 is: 1,147,226.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,612 : 740,997 = 740,997 : x
  2. Step 2: Convert to fraction form
    478,612/740,997 = 740,997/x
  3. Step 3: Cross multiply
    478,612x = 740,997 × 740,997
  4. Step 4: Simplify right side
    478,612x = 549,076,554,009
  5. Step 5: Solve for x
    x = 549,076,554,009/478,612
  6. Step 6: Final answer
    x = 1,147,226.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.