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Finding the Third Proportional to 497,709 and 766,044

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Solution

The third proportional to 497,709 and 766,044 is: 1,179,049.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,709 : 766,044 = 766,044 : x
  2. Step 2: Convert to fraction form
    497,709/766,044 = 766,044/x
  3. Step 3: Cross multiply
    497,709x = 766,044 × 766,044
  4. Step 4: Simplify right side
    497,709x = 586,823,409,936
  5. Step 5: Solve for x
    x = 586,823,409,936/497,709
  6. Step 6: Final answer
    x = 1,179,049.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.