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Finding the Third Proportional to 338,157 and 714,033

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Solution

The third proportional to 338,157 and 714,033 is: 1,507,711.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,157 : 714,033 = 714,033 : x
  2. Step 2: Convert to fraction form
    338,157/714,033 = 714,033/x
  3. Step 3: Cross multiply
    338,157x = 714,033 × 714,033
  4. Step 4: Simplify right side
    338,157x = 509,843,125,089
  5. Step 5: Solve for x
    x = 509,843,125,089/338,157
  6. Step 6: Final answer
    x = 1,507,711.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.