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Finding the Third Proportional to 565,272 and 1,232,178

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Solution

The third proportional to 565,272 and 1,232,178 is: 2,685,897.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,272 : 1,232,178 = 1,232,178 : x
  2. Step 2: Convert to fraction form
    565,272/1,232,178 = 1,232,178/x
  3. Step 3: Cross multiply
    565,272x = 1,232,178 × 1,232,178
  4. Step 4: Simplify right side
    565,272x = 1,518,262,623,684
  5. Step 5: Solve for x
    x = 1,518,262,623,684/565,272
  6. Step 6: Final answer
    x = 2,685,897.45

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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.