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Finding the Third Proportional to 513,354 and 793,359

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Solution

The third proportional to 513,354 and 793,359 is: 1,226,090.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,354 : 793,359 = 793,359 : x
  2. Step 2: Convert to fraction form
    513,354/793,359 = 793,359/x
  3. Step 3: Cross multiply
    513,354x = 793,359 × 793,359
  4. Step 4: Simplify right side
    513,354x = 629,418,502,881
  5. Step 5: Solve for x
    x = 629,418,502,881/513,354
  6. Step 6: Final answer
    x = 1,226,090.58

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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.