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Finding the Third Proportional to 334,489 and 714,770

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Solution

The third proportional to 334,489 and 714,770 is: 1,527,392.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,489 : 714,770 = 714,770 : x
  2. Step 2: Convert to fraction form
    334,489/714,770 = 714,770/x
  3. Step 3: Cross multiply
    334,489x = 714,770 × 714,770
  4. Step 4: Simplify right side
    334,489x = 510,896,152,900
  5. Step 5: Solve for x
    x = 510,896,152,900/334,489
  6. Step 6: Final answer
    x = 1,527,392.99

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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.