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Finding the Third Proportional to 304,196 and 473,488

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Solution

The third proportional to 304,196 and 473,488 is: 736,994.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,196 : 473,488 = 473,488 : x
  2. Step 2: Convert to fraction form
    304,196/473,488 = 473,488/x
  3. Step 3: Cross multiply
    304,196x = 473,488 × 473,488
  4. Step 4: Simplify right side
    304,196x = 224,190,886,144
  5. Step 5: Solve for x
    x = 224,190,886,144/304,196
  6. Step 6: Final answer
    x = 736,994.85

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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.