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Finding the Third Proportional to 262,076 and 561,547

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Solution

The third proportional to 262,076 and 561,547 is: 1,203,219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,076 : 561,547 = 561,547 : x
  2. Step 2: Convert to fraction form
    262,076/561,547 = 561,547/x
  3. Step 3: Cross multiply
    262,076x = 561,547 × 561,547
  4. Step 4: Simplify right side
    262,076x = 315,335,033,209
  5. Step 5: Solve for x
    x = 315,335,033,209/262,076
  6. Step 6: Final answer
    x = 1,203,219.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.