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Finding the Third Proportional to 463,131 and 692,752.50

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Solution

The third proportional to 463,131 and 692,752.50 is: 1,036,220.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,131 : 692,752.50 = 692,752.50 : x
  2. Step 2: Convert to fraction form
    463,131/692,752.50 = 692,752.50/x
  3. Step 3: Cross multiply
    463,131x = 692,752.50 × 692,752.50
  4. Step 4: Simplify right side
    463,131x = 479,906,026,256.25
  5. Step 5: Solve for x
    x = 479,906,026,256.25/463,131
  6. Step 6: Final answer
    x = 1,036,220.91

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