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Finding the Third Proportional to 297,959 and 651,623

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Solution

The third proportional to 297,959 and 651,623 is: 1,425,070.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,959 : 651,623 = 651,623 : x
  2. Step 2: Convert to fraction form
    297,959/651,623 = 651,623/x
  3. Step 3: Cross multiply
    297,959x = 651,623 × 651,623
  4. Step 4: Simplify right side
    297,959x = 424,612,534,129
  5. Step 5: Solve for x
    x = 424,612,534,129/297,959
  6. Step 6: Final answer
    x = 1,425,070.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.