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Finding the Third Proportional to 586,922.63 and 933,637.50

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Solution

The third proportional to 586,922.63 and 933,637.50 is: 1,485,168.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,922.63 : 933,637.50 = 933,637.50 : x
  2. Step 2: Convert to fraction form
    586,922.63/933,637.50 = 933,637.50/x
  3. Step 3: Cross multiply
    586,922.63x = 933,637.50 × 933,637.50
  4. Step 4: Simplify right side
    586,922.63x = 871,678,981,406.25
  5. Step 5: Solve for x
    x = 871,678,981,406.25/586,922.63
  6. Step 6: Final answer
    x = 1,485,168.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.