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Finding the Third Proportional to 413,526.75 and 933,670.50

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Solution

The third proportional to 413,526.75 and 933,670.50 is: 2,108,063.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,526.75 : 933,670.50 = 933,670.50 : x
  2. Step 2: Convert to fraction form
    413,526.75/933,670.50 = 933,670.50/x
  3. Step 3: Cross multiply
    413,526.75x = 933,670.50 × 933,670.50
  4. Step 4: Simplify right side
    413,526.75x = 871,740,602,570.25
  5. Step 5: Solve for x
    x = 871,740,602,570.25/413,526.75
  6. Step 6: Final answer
    x = 2,108,063.39

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.