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Finding the Third Proportional to 286,095.50 and 432,825.50

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Solution

The third proportional to 286,095.50 and 432,825.50 is: 654,809.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,095.50 : 432,825.50 = 432,825.50 : x
  2. Step 2: Convert to fraction form
    286,095.50/432,825.50 = 432,825.50/x
  3. Step 3: Cross multiply
    286,095.50x = 432,825.50 × 432,825.50
  4. Step 4: Simplify right side
    286,095.50x = 187,337,913,450.25
  5. Step 5: Solve for x
    x = 187,337,913,450.25/286,095.50
  6. Step 6: Final answer
    x = 654,809.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.