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Finding the Third Proportional to 275,303.81 and 583,655.63

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Solution

The third proportional to 275,303.81 and 583,655.63 is: 1,237,374.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,303.81 : 583,655.63 = 583,655.63 : x
  2. Step 2: Convert to fraction form
    275,303.81/583,655.63 = 583,655.63/x
  3. Step 3: Cross multiply
    275,303.81x = 583,655.63 × 583,655.63
  4. Step 4: Simplify right side
    275,303.81x = 340,653,888,594.14
  5. Step 5: Solve for x
    x = 340,653,888,594.14/275,303.81
  6. Step 6: Final answer
    x = 1,237,374.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.