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Finding the Third Proportional to 463,360.50 and 740,007

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Solution

The third proportional to 463,360.50 and 740,007 is: 1,181,823.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,360.50 : 740,007 = 740,007 : x
  2. Step 2: Convert to fraction form
    463,360.50/740,007 = 740,007/x
  3. Step 3: Cross multiply
    463,360.50x = 740,007 × 740,007
  4. Step 4: Simplify right side
    463,360.50x = 547,610,360,049
  5. Step 5: Solve for x
    x = 547,610,360,049/463,360.50
  6. Step 6: Final answer
    x = 1,181,823.57

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.