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Finding the Third Proportional to 234,696 and 480,547.50

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Solution

The third proportional to 234,696 and 480,547.50 is: 983,936.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,696 : 480,547.50 = 480,547.50 : x
  2. Step 2: Convert to fraction form
    234,696/480,547.50 = 480,547.50/x
  3. Step 3: Cross multiply
    234,696x = 480,547.50 × 480,547.50
  4. Step 4: Simplify right side
    234,696x = 230,925,899,756.25
  5. Step 5: Solve for x
    x = 230,925,899,756.25/234,696
  6. Step 6: Final answer
    x = 983,936.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.