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Finding the Third Proportional to 464,948 and 718,140

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Solution

The third proportional to 464,948 and 718,140 is: 1,109,210.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,948 : 718,140 = 718,140 : x
  2. Step 2: Convert to fraction form
    464,948/718,140 = 718,140/x
  3. Step 3: Cross multiply
    464,948x = 718,140 × 718,140
  4. Step 4: Simplify right side
    464,948x = 515,725,059,600
  5. Step 5: Solve for x
    x = 515,725,059,600/464,948
  6. Step 6: Final answer
    x = 1,109,210.19

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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.