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Finding the Third Proportional to 575,356.50 and 902,562

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Solution

The third proportional to 575,356.50 and 902,562 is: 1,415,849.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,356.50 : 902,562 = 902,562 : x
  2. Step 2: Convert to fraction form
    575,356.50/902,562 = 902,562/x
  3. Step 3: Cross multiply
    575,356.50x = 902,562 × 902,562
  4. Step 4: Simplify right side
    575,356.50x = 814,618,163,844
  5. Step 5: Solve for x
    x = 814,618,163,844/575,356.50
  6. Step 6: Final answer
    x = 1,415,849.41

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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.