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Finding the Third Proportional to 464,913 and 718,097.06

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Solution

The third proportional to 464,913 and 718,097.06 is: 1,109,161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,913 : 718,097.06 = 718,097.06 : x
  2. Step 2: Convert to fraction form
    464,913/718,097.06 = 718,097.06/x
  3. Step 3: Cross multiply
    464,913x = 718,097.06 × 718,097.06
  4. Step 4: Simplify right side
    464,913x = 515,663,391,171.13
  5. Step 5: Solve for x
    x = 515,663,391,171.13/464,913
  6. Step 6: Final answer
    x = 1,109,161.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.