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Finding the Third Proportional to 630,264 and 918,312

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Solution

The third proportional to 630,264 and 918,312 is: 1,338,005.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,264 : 918,312 = 918,312 : x
  2. Step 2: Convert to fraction form
    630,264/918,312 = 918,312/x
  3. Step 3: Cross multiply
    630,264x = 918,312 × 918,312
  4. Step 4: Simplify right side
    630,264x = 843,296,929,344
  5. Step 5: Solve for x
    x = 843,296,929,344/630,264
  6. Step 6: Final answer
    x = 1,338,005.87

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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.