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Finding the Third Proportional to 293,880.38 and 439,681.50

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Solution

The third proportional to 293,880.38 and 439,681.50 is: 657,818.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,880.38 : 439,681.50 = 439,681.50 : x
  2. Step 2: Convert to fraction form
    293,880.38/439,681.50 = 439,681.50/x
  3. Step 3: Cross multiply
    293,880.38x = 439,681.50 × 439,681.50
  4. Step 4: Simplify right side
    293,880.38x = 193,319,821,442.25
  5. Step 5: Solve for x
    x = 193,319,821,442.25/293,880.38
  6. Step 6: Final answer
    x = 657,818.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.