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Finding the Third Proportional to 463,133 and 692,755

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Solution

The third proportional to 463,133 and 692,755 is: 1,036,223.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,133 : 692,755 = 692,755 : x
  2. Step 2: Convert to fraction form
    463,133/692,755 = 692,755/x
  3. Step 3: Cross multiply
    463,133x = 692,755 × 692,755
  4. Step 4: Simplify right side
    463,133x = 479,909,490,025
  5. Step 5: Solve for x
    x = 479,909,490,025/463,133
  6. Step 6: Final answer
    x = 1,036,223.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.