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Finding the Third Proportional to 343,428.19 and 504,853.59

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Solution

The third proportional to 343,428.19 and 504,853.59 is: 742,155.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,428.19 : 504,853.59 = 504,853.59 : x
  2. Step 2: Convert to fraction form
    343,428.19/504,853.59 = 504,853.59/x
  3. Step 3: Cross multiply
    343,428.19x = 504,853.59 × 504,853.59
  4. Step 4: Simplify right side
    343,428.19x = 254,877,151,122.29
  5. Step 5: Solve for x
    x = 254,877,151,122.29/343,428.19
  6. Step 6: Final answer
    x = 742,155.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.