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Finding the Third Proportional to 303,547.50 and 469,010.25

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Solution

The third proportional to 303,547.50 and 469,010.25 is: 724,666.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,547.50 : 469,010.25 = 469,010.25 : x
  2. Step 2: Convert to fraction form
    303,547.50/469,010.25 = 469,010.25/x
  3. Step 3: Cross multiply
    303,547.50x = 469,010.25 × 469,010.25
  4. Step 4: Simplify right side
    303,547.50x = 219,970,614,605.06
  5. Step 5: Solve for x
    x = 219,970,614,605.06/303,547.50
  6. Step 6: Final answer
    x = 724,666.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.