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Finding the Third Proportional to 297,046.69 and 700,530.19

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Solution

The third proportional to 297,046.69 and 700,530.19 is: 1,652,072.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,046.69 : 700,530.19 = 700,530.19 : x
  2. Step 2: Convert to fraction form
    297,046.69/700,530.19 = 700,530.19/x
  3. Step 3: Cross multiply
    297,046.69x = 700,530.19 × 700,530.19
  4. Step 4: Simplify right side
    297,046.69x = 490,742,543,598.79
  5. Step 5: Solve for x
    x = 490,742,543,598.79/297,046.69
  6. Step 6: Final answer
    x = 1,652,072.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.