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Finding the Third Proportional to 456,775.50 and 983,541

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Solution

The third proportional to 456,775.50 and 983,541 is: 2,117,786.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,775.50 : 983,541 = 983,541 : x
  2. Step 2: Convert to fraction form
    456,775.50/983,541 = 983,541/x
  3. Step 3: Cross multiply
    456,775.50x = 983,541 × 983,541
  4. Step 4: Simplify right side
    456,775.50x = 967,352,898,681
  5. Step 5: Solve for x
    x = 967,352,898,681/456,775.50
  6. Step 6: Final answer
    x = 2,117,786.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.