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Finding the Third Proportional to 296,630.63 and 614,290.31

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Solution

The third proportional to 296,630.63 and 614,290.31 is: 1,272,129.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,630.63 : 614,290.31 = 614,290.31 : x
  2. Step 2: Convert to fraction form
    296,630.63/614,290.31 = 614,290.31/x
  3. Step 3: Cross multiply
    296,630.63x = 614,290.31 × 614,290.31
  4. Step 4: Simplify right side
    296,630.63x = 377,352,588,031.35
  5. Step 5: Solve for x
    x = 377,352,588,031.35/296,630.63
  6. Step 6: Final answer
    x = 1,272,129.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.