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Finding the Third Proportional to 305,043 and 463,784

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Solution

The third proportional to 305,043 and 463,784 is: 705,132.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,043 : 463,784 = 463,784 : x
  2. Step 2: Convert to fraction form
    305,043/463,784 = 463,784/x
  3. Step 3: Cross multiply
    305,043x = 463,784 × 463,784
  4. Step 4: Simplify right side
    305,043x = 215,095,598,656
  5. Step 5: Solve for x
    x = 215,095,598,656/305,043
  6. Step 6: Final answer
    x = 705,132.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.