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Finding the Third Proportional to 464,995 and 658,148

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Solution

The third proportional to 464,995 and 658,148 is: 931,534.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,995 : 658,148 = 658,148 : x
  2. Step 2: Convert to fraction form
    464,995/658,148 = 658,148/x
  3. Step 3: Cross multiply
    464,995x = 658,148 × 658,148
  4. Step 4: Simplify right side
    464,995x = 433,158,789,904
  5. Step 5: Solve for x
    x = 433,158,789,904/464,995
  6. Step 6: Final answer
    x = 931,534.30

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.