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Finding the Third Proportional to 196,376 and 420,528

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Solution

The third proportional to 196,376 and 420,528 is: 900,536.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,376 : 420,528 = 420,528 : x
  2. Step 2: Convert to fraction form
    196,376/420,528 = 420,528/x
  3. Step 3: Cross multiply
    196,376x = 420,528 × 420,528
  4. Step 4: Simplify right side
    196,376x = 176,843,798,784
  5. Step 5: Solve for x
    x = 176,843,798,784/196,376
  6. Step 6: Final answer
    x = 900,536.72

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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.