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Finding the Third Proportional to 370,280 and 524,235

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Solution

The third proportional to 370,280 and 524,235 is: 742,201.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,280 : 524,235 = 524,235 : x
  2. Step 2: Convert to fraction form
    370,280/524,235 = 524,235/x
  3. Step 3: Cross multiply
    370,280x = 524,235 × 524,235
  4. Step 4: Simplify right side
    370,280x = 274,822,335,225
  5. Step 5: Solve for x
    x = 274,822,335,225/370,280
  6. Step 6: Final answer
    x = 742,201.40

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.