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Finding the Third Proportional to 427,666.50 and 597,903.75

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Solution

The third proportional to 427,666.50 and 597,903.75 is: 835,905.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,666.50 : 597,903.75 = 597,903.75 : x
  2. Step 2: Convert to fraction form
    427,666.50/597,903.75 = 597,903.75/x
  3. Step 3: Cross multiply
    427,666.50x = 597,903.75 × 597,903.75
  4. Step 4: Simplify right side
    427,666.50x = 357,488,894,264.06
  5. Step 5: Solve for x
    x = 357,488,894,264.06/427,666.50
  6. Step 6: Final answer
    x = 835,905.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.