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Finding the Third Proportional to 234,547 and 512,104.50

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Solution

The third proportional to 234,547 and 512,104.50 is: 1,118,117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,547 : 512,104.50 = 512,104.50 : x
  2. Step 2: Convert to fraction form
    234,547/512,104.50 = 512,104.50/x
  3. Step 3: Cross multiply
    234,547x = 512,104.50 × 512,104.50
  4. Step 4: Simplify right side
    234,547x = 262,251,018,920.25
  5. Step 5: Solve for x
    x = 262,251,018,920.25/234,547
  6. Step 6: Final answer
    x = 1,118,117.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.