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Finding the Third Proportional to 577,908 and 767,030

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Solution

The third proportional to 577,908 and 767,030 is: 1,018,042.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,908 : 767,030 = 767,030 : x
  2. Step 2: Convert to fraction form
    577,908/767,030 = 767,030/x
  3. Step 3: Cross multiply
    577,908x = 767,030 × 767,030
  4. Step 4: Simplify right side
    577,908x = 588,335,020,900
  5. Step 5: Solve for x
    x = 588,335,020,900/577,908
  6. Step 6: Final answer
    x = 1,018,042.70

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.