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Finding the Third Proportional to 334,490 and 714,772

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Solution

The third proportional to 334,490 and 714,772 is: 1,527,396.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,490 : 714,772 = 714,772 : x
  2. Step 2: Convert to fraction form
    334,490/714,772 = 714,772/x
  3. Step 3: Cross multiply
    334,490x = 714,772 × 714,772
  4. Step 4: Simplify right side
    334,490x = 510,899,011,984
  5. Step 5: Solve for x
    x = 510,899,011,984/334,490
  6. Step 6: Final answer
    x = 1,527,396.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.