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Finding the Third Proportional to 364,041.13 and 569,828.88

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Solution

The third proportional to 364,041.13 and 569,828.88 is: 891,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,041.13 : 569,828.88 = 569,828.88 : x
  2. Step 2: Convert to fraction form
    364,041.13/569,828.88 = 569,828.88/x
  3. Step 3: Cross multiply
    364,041.13x = 569,828.88 × 569,828.88
  4. Step 4: Simplify right side
    364,041.13x = 324,704,946,783.77
  5. Step 5: Solve for x
    x = 324,704,946,783.77/364,041.13
  6. Step 6: Final answer
    x = 891,945.78

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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.