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Finding the Third Proportional to 304,746 and 464,854

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Solution

The third proportional to 304,746 and 464,854 is: 709,079.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,746 : 464,854 = 464,854 : x
  2. Step 2: Convert to fraction form
    304,746/464,854 = 464,854/x
  3. Step 3: Cross multiply
    304,746x = 464,854 × 464,854
  4. Step 4: Simplify right side
    304,746x = 216,089,241,316
  5. Step 5: Solve for x
    x = 216,089,241,316/304,746
  6. Step 6: Final answer
    x = 709,079.83

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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.