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Finding the Third Proportional to 295,410.16 and 468,952.03

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Solution

The third proportional to 295,410.16 and 468,952.03 is: 744,442.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,410.16 : 468,952.03 = 468,952.03 : x
  2. Step 2: Convert to fraction form
    295,410.16/468,952.03 = 468,952.03/x
  3. Step 3: Cross multiply
    295,410.16x = 468,952.03 × 468,952.03
  4. Step 4: Simplify right side
    295,410.16x = 219,916,007,613.50
  5. Step 5: Solve for x
    x = 219,916,007,613.50/295,410.16
  6. Step 6: Final answer
    x = 744,442.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.