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Finding the Third Proportional to 340,250.63 and 502,615.13

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Solution

The third proportional to 340,250.63 and 502,615.13 is: 742,458.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,250.63 : 502,615.13 = 502,615.13 : x
  2. Step 2: Convert to fraction form
    340,250.63/502,615.13 = 502,615.13/x
  3. Step 3: Cross multiply
    340,250.63x = 502,615.13 × 502,615.13
  4. Step 4: Simplify right side
    340,250.63x = 252,621,963,878.77
  5. Step 5: Solve for x
    x = 252,621,963,878.77/340,250.63
  6. Step 6: Final answer
    x = 742,458.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.