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Finding the Third Proportional to 596,160 and 875,232

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Solution

The third proportional to 596,160 and 875,232 is: 1,284,942.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,160 : 875,232 = 875,232 : x
  2. Step 2: Convert to fraction form
    596,160/875,232 = 875,232/x
  3. Step 3: Cross multiply
    596,160x = 875,232 × 875,232
  4. Step 4: Simplify right side
    596,160x = 766,031,053,824
  5. Step 5: Solve for x
    x = 766,031,053,824/596,160
  6. Step 6: Final answer
    x = 1,284,942.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.