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Finding the Third Proportional to 304,584 and 446,482.50

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Solution

The third proportional to 304,584 and 446,482.50 is: 654,488.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,584 : 446,482.50 = 446,482.50 : x
  2. Step 2: Convert to fraction form
    304,584/446,482.50 = 446,482.50/x
  3. Step 3: Cross multiply
    304,584x = 446,482.50 × 446,482.50
  4. Step 4: Simplify right side
    304,584x = 199,346,622,806.25
  5. Step 5: Solve for x
    x = 199,346,622,806.25/304,584
  6. Step 6: Final answer
    x = 654,488.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.