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Finding the Third Proportional to 334,044 and 742,716

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Solution

The third proportional to 334,044 and 742,716 is: 1,651,360.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,044 : 742,716 = 742,716 : x
  2. Step 2: Convert to fraction form
    334,044/742,716 = 742,716/x
  3. Step 3: Cross multiply
    334,044x = 742,716 × 742,716
  4. Step 4: Simplify right side
    334,044x = 551,627,056,656
  5. Step 5: Solve for x
    x = 551,627,056,656/334,044
  6. Step 6: Final answer
    x = 1,651,360.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.