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Finding the Third Proportional to 460,863 and 671,031

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Solution

The third proportional to 460,863 and 671,031 is: 977,042.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,863 : 671,031 = 671,031 : x
  2. Step 2: Convert to fraction form
    460,863/671,031 = 671,031/x
  3. Step 3: Cross multiply
    460,863x = 671,031 × 671,031
  4. Step 4: Simplify right side
    460,863x = 450,282,602,961
  5. Step 5: Solve for x
    x = 450,282,602,961/460,863
  6. Step 6: Final answer
    x = 977,042.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.