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Finding the Third Proportional to 304,754 and 476,547

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Solution

The third proportional to 304,754 and 476,547 is: 745,181.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,754 : 476,547 = 476,547 : x
  2. Step 2: Convert to fraction form
    304,754/476,547 = 476,547/x
  3. Step 3: Cross multiply
    304,754x = 476,547 × 476,547
  4. Step 4: Simplify right side
    304,754x = 227,097,043,209
  5. Step 5: Solve for x
    x = 227,097,043,209/304,754
  6. Step 6: Final answer
    x = 745,181.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.