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Finding the Third Proportional to 466,978.50 and 973,783.13

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Solution

The third proportional to 466,978.50 and 973,783.13 is: 2,030,615.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,978.50 : 973,783.13 = 973,783.13 : x
  2. Step 2: Convert to fraction form
    466,978.50/973,783.13 = 973,783.13/x
  3. Step 3: Cross multiply
    466,978.50x = 973,783.13 × 973,783.13
  4. Step 4: Simplify right side
    466,978.50x = 948,253,574,534.77
  5. Step 5: Solve for x
    x = 948,253,574,534.77/466,978.50
  6. Step 6: Final answer
    x = 2,030,615.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.