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Finding the Third Proportional to 497,061 and 788,319

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Solution

The third proportional to 497,061 and 788,319 is: 1,250,242.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,061 : 788,319 = 788,319 : x
  2. Step 2: Convert to fraction form
    497,061/788,319 = 788,319/x
  3. Step 3: Cross multiply
    497,061x = 788,319 × 788,319
  4. Step 4: Simplify right side
    497,061x = 621,446,845,761
  5. Step 5: Solve for x
    x = 621,446,845,761/497,061
  6. Step 6: Final answer
    x = 1,250,242.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.