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Finding the Third Proportional to 382,779 and 824,053.50

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Solution

The third proportional to 382,779 and 824,053.50 is: 1,774,037.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,779 : 824,053.50 = 824,053.50 : x
  2. Step 2: Convert to fraction form
    382,779/824,053.50 = 824,053.50/x
  3. Step 3: Cross multiply
    382,779x = 824,053.50 × 824,053.50
  4. Step 4: Simplify right side
    382,779x = 679,064,170,862.25
  5. Step 5: Solve for x
    x = 679,064,170,862.25/382,779
  6. Step 6: Final answer
    x = 1,774,037.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.