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Finding the Third Proportional to 360,090.56 and 776,007

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Solution

The third proportional to 360,090.56 and 776,007 is: 1,672,320.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,090.56 : 776,007 = 776,007 : x
  2. Step 2: Convert to fraction form
    360,090.56/776,007 = 776,007/x
  3. Step 3: Cross multiply
    360,090.56x = 776,007 × 776,007
  4. Step 4: Simplify right side
    360,090.56x = 602,186,864,049
  5. Step 5: Solve for x
    x = 602,186,864,049/360,090.56
  6. Step 6: Final answer
    x = 1,672,320.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.