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Finding the Third Proportional to 364,071 and 569,866.50

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Solution

The third proportional to 364,071 and 569,866.50 is: 891,990.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,071 : 569,866.50 = 569,866.50 : x
  2. Step 2: Convert to fraction form
    364,071/569,866.50 = 569,866.50/x
  3. Step 3: Cross multiply
    364,071x = 569,866.50 × 569,866.50
  4. Step 4: Simplify right side
    364,071x = 324,747,827,822.25
  5. Step 5: Solve for x
    x = 324,747,827,822.25/364,071
  6. Step 6: Final answer
    x = 891,990.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.