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Finding the Third Proportional to 270,432 and 507,024

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Solution

The third proportional to 270,432 and 507,024 is: 950,602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,432 : 507,024 = 507,024 : x
  2. Step 2: Convert to fraction form
    270,432/507,024 = 507,024/x
  3. Step 3: Cross multiply
    270,432x = 507,024 × 507,024
  4. Step 4: Simplify right side
    270,432x = 257,073,336,576
  5. Step 5: Solve for x
    x = 257,073,336,576/270,432
  6. Step 6: Final answer
    x = 950,602.50

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.