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Finding the Third Proportional to 279,235.48 and 602,749.16

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Solution

The third proportional to 279,235.48 and 602,749.16 is: 1,301,075.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,235.48 : 602,749.16 = 602,749.16 : x
  2. Step 2: Convert to fraction form
    279,235.48/602,749.16 = 602,749.16/x
  3. Step 3: Cross multiply
    279,235.48x = 602,749.16 × 602,749.16
  4. Step 4: Simplify right side
    279,235.48x = 363,306,550,069.05
  5. Step 5: Solve for x
    x = 363,306,550,069.05/279,235.48
  6. Step 6: Final answer
    x = 1,301,075.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.