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Finding the Third Proportional to 511,700 and 767,554

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Solution

The third proportional to 511,700 and 767,554 is: 1,151,337.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,700 : 767,554 = 767,554 : x
  2. Step 2: Convert to fraction form
    511,700/767,554 = 767,554/x
  3. Step 3: Cross multiply
    511,700x = 767,554 × 767,554
  4. Step 4: Simplify right side
    511,700x = 589,139,142,916
  5. Step 5: Solve for x
    x = 589,139,142,916/511,700
  6. Step 6: Final answer
    x = 1,151,337.00

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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.