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Finding the Third Proportional to 334,570 and 476,942

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Solution

The third proportional to 334,570 and 476,942 is: 679,898.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,570 : 476,942 = 476,942 : x
  2. Step 2: Convert to fraction form
    334,570/476,942 = 476,942/x
  3. Step 3: Cross multiply
    334,570x = 476,942 × 476,942
  4. Step 4: Simplify right side
    334,570x = 227,473,671,364
  5. Step 5: Solve for x
    x = 227,473,671,364/334,570
  6. Step 6: Final answer
    x = 679,898.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.