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Finding the Third Proportional to 329,032 and 714,440

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Solution

The third proportional to 329,032 and 714,440 is: 1,551,291.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,032 : 714,440 = 714,440 : x
  2. Step 2: Convert to fraction form
    329,032/714,440 = 714,440/x
  3. Step 3: Cross multiply
    329,032x = 714,440 × 714,440
  4. Step 4: Simplify right side
    329,032x = 510,424,513,600
  5. Step 5: Solve for x
    x = 510,424,513,600/329,032
  6. Step 6: Final answer
    x = 1,551,291.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.