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Finding the Third Proportional to 334,547.72 and 501,924.09

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Solution

The third proportional to 334,547.72 and 501,924.09 is: 753,039.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,547.72 : 501,924.09 = 501,924.09 : x
  2. Step 2: Convert to fraction form
    334,547.72/501,924.09 = 501,924.09/x
  3. Step 3: Cross multiply
    334,547.72x = 501,924.09 × 501,924.09
  4. Step 4: Simplify right side
    334,547.72x = 251,927,795,886.76
  5. Step 5: Solve for x
    x = 251,927,795,886.76/334,547.72
  6. Step 6: Final answer
    x = 753,039.95

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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.