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Finding the Third Proportional to 462,681 and 630,324

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Solution

The third proportional to 462,681 and 630,324 is: 858,709.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,681 : 630,324 = 630,324 : x
  2. Step 2: Convert to fraction form
    462,681/630,324 = 630,324/x
  3. Step 3: Cross multiply
    462,681x = 630,324 × 630,324
  4. Step 4: Simplify right side
    462,681x = 397,308,344,976
  5. Step 5: Solve for x
    x = 397,308,344,976/462,681
  6. Step 6: Final answer
    x = 858,709.01

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.