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Finding the Third Proportional to 426,597.75 and 933,547.50

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Solution

The third proportional to 426,597.75 and 933,547.50 is: 2,042,933.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,597.75 : 933,547.50 = 933,547.50 : x
  2. Step 2: Convert to fraction form
    426,597.75/933,547.50 = 933,547.50/x
  3. Step 3: Cross multiply
    426,597.75x = 933,547.50 × 933,547.50
  4. Step 4: Simplify right side
    426,597.75x = 871,510,934,756.25
  5. Step 5: Solve for x
    x = 871,510,934,756.25/426,597.75
  6. Step 6: Final answer
    x = 2,042,933.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.