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Finding the Third Proportional to 286,085.50 and 432,814.50

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Solution

The third proportional to 286,085.50 and 432,814.50 is: 654,798.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,085.50 : 432,814.50 = 432,814.50 : x
  2. Step 2: Convert to fraction form
    286,085.50/432,814.50 = 432,814.50/x
  3. Step 3: Cross multiply
    286,085.50x = 432,814.50 × 432,814.50
  4. Step 4: Simplify right side
    286,085.50x = 187,328,391,410.25
  5. Step 5: Solve for x
    x = 187,328,391,410.25/286,085.50
  6. Step 6: Final answer
    x = 654,798.62

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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.