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Finding the Third Proportional to 656,541 and 991,615.50

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Solution

The third proportional to 656,541 and 991,615.50 is: 1,497,699.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,541 : 991,615.50 = 991,615.50 : x
  2. Step 2: Convert to fraction form
    656,541/991,615.50 = 991,615.50/x
  3. Step 3: Cross multiply
    656,541x = 991,615.50 × 991,615.50
  4. Step 4: Simplify right side
    656,541x = 983,301,299,840.25
  5. Step 5: Solve for x
    x = 983,301,299,840.25/656,541
  6. Step 6: Final answer
    x = 1,497,699.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.