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Finding the Third Proportional to 258,224 and 610,547

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Solution

The third proportional to 258,224 and 610,547 is: 1,443,582.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,224 : 610,547 = 610,547 : x
  2. Step 2: Convert to fraction form
    258,224/610,547 = 610,547/x
  3. Step 3: Cross multiply
    258,224x = 610,547 × 610,547
  4. Step 4: Simplify right side
    258,224x = 372,767,639,209
  5. Step 5: Solve for x
    x = 372,767,639,209/258,224
  6. Step 6: Final answer
    x = 1,443,582.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.