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Finding the Third Proportional to 433,184 and 666,688

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Solution

The third proportional to 433,184 and 666,688 is: 1,026,060.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,184 : 666,688 = 666,688 : x
  2. Step 2: Convert to fraction form
    433,184/666,688 = 666,688/x
  3. Step 3: Cross multiply
    433,184x = 666,688 × 666,688
  4. Step 4: Simplify right side
    433,184x = 444,472,889,344
  5. Step 5: Solve for x
    x = 444,472,889,344/433,184
  6. Step 6: Final answer
    x = 1,026,060.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.