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Finding the Third Proportional to 575,219 and 902,397

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Solution

The third proportional to 575,219 and 902,397 is: 1,415,670.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,219 : 902,397 = 902,397 : x
  2. Step 2: Convert to fraction form
    575,219/902,397 = 902,397/x
  3. Step 3: Cross multiply
    575,219x = 902,397 × 902,397
  4. Step 4: Simplify right side
    575,219x = 814,320,345,609
  5. Step 5: Solve for x
    x = 814,320,345,609/575,219
  6. Step 6: Final answer
    x = 1,415,670.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.