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Finding the Third Proportional to 280,282.50 and 658,008

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Solution

The third proportional to 280,282.50 and 658,008 is: 1,544,779.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,282.50 : 658,008 = 658,008 : x
  2. Step 2: Convert to fraction form
    280,282.50/658,008 = 658,008/x
  3. Step 3: Cross multiply
    280,282.50x = 658,008 × 658,008
  4. Step 4: Simplify right side
    280,282.50x = 432,974,528,064
  5. Step 5: Solve for x
    x = 432,974,528,064/280,282.50
  6. Step 6: Final answer
    x = 1,544,779.03

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.