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Finding the Third Proportional to 364,032.98 and 569,816.02

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Solution

The third proportional to 364,032.98 and 569,816.02 is: 891,925.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,032.98 : 569,816.02 = 569,816.02 : x
  2. Step 2: Convert to fraction form
    364,032.98/569,816.02 = 569,816.02/x
  3. Step 3: Cross multiply
    364,032.98x = 569,816.02 × 569,816.02
  4. Step 4: Simplify right side
    364,032.98x = 324,690,291,662.75
  5. Step 5: Solve for x
    x = 324,690,291,662.75/364,032.98
  6. Step 6: Final answer
    x = 891,925.47

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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.