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Finding the Third Proportional to 575,461.50 and 902,769

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Solution

The third proportional to 575,461.50 and 902,769 is: 1,416,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,461.50 : 902,769 = 902,769 : x
  2. Step 2: Convert to fraction form
    575,461.50/902,769 = 902,769/x
  3. Step 3: Cross multiply
    575,461.50x = 902,769 × 902,769
  4. Step 4: Simplify right side
    575,461.50x = 814,991,867,361
  5. Step 5: Solve for x
    x = 814,991,867,361/575,461.50
  6. Step 6: Final answer
    x = 1,416,240.47

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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.