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Finding the Third Proportional to 615,331.69 and 973,567.69

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Solution

The third proportional to 615,331.69 and 973,567.69 is: 1,540,362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,331.69 : 973,567.69 = 973,567.69 : x
  2. Step 2: Convert to fraction form
    615,331.69/973,567.69 = 973,567.69/x
  3. Step 3: Cross multiply
    615,331.69x = 973,567.69 × 973,567.69
  4. Step 4: Simplify right side
    615,331.69x = 947,834,042,144.10
  5. Step 5: Solve for x
    x = 947,834,042,144.10/615,331.69
  6. Step 6: Final answer
    x = 1,540,362.80

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.