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Finding the Third Proportional to 575,070 and 882,699

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Solution

The third proportional to 575,070 and 882,699 is: 1,354,891.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,070 : 882,699 = 882,699 : x
  2. Step 2: Convert to fraction form
    575,070/882,699 = 882,699/x
  3. Step 3: Cross multiply
    575,070x = 882,699 × 882,699
  4. Step 4: Simplify right side
    575,070x = 779,157,524,601
  5. Step 5: Solve for x
    x = 779,157,524,601/575,070
  6. Step 6: Final answer
    x = 1,354,891.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.