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Finding the Third Proportional to 369,045 and 807,021

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Solution

The third proportional to 369,045 and 807,021 is: 1,764,779.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,045 : 807,021 = 807,021 : x
  2. Step 2: Convert to fraction form
    369,045/807,021 = 807,021/x
  3. Step 3: Cross multiply
    369,045x = 807,021 × 807,021
  4. Step 4: Simplify right side
    369,045x = 651,282,894,441
  5. Step 5: Solve for x
    x = 651,282,894,441/369,045
  6. Step 6: Final answer
    x = 1,764,779.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.