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Finding the Third Proportional to 304,747 and 464,855.50

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Solution

The third proportional to 304,747 and 464,855.50 is: 709,082.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,747 : 464,855.50 = 464,855.50 : x
  2. Step 2: Convert to fraction form
    304,747/464,855.50 = 464,855.50/x
  3. Step 3: Cross multiply
    304,747x = 464,855.50 × 464,855.50
  4. Step 4: Simplify right side
    304,747x = 216,090,635,880.25
  5. Step 5: Solve for x
    x = 216,090,635,880.25/304,747
  6. Step 6: Final answer
    x = 709,082.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.