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Finding the Third Proportional to 356,888 and 525,468

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Solution

The third proportional to 356,888 and 525,468 is: 773,678.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,888 : 525,468 = 525,468 : x
  2. Step 2: Convert to fraction form
    356,888/525,468 = 525,468/x
  3. Step 3: Cross multiply
    356,888x = 525,468 × 525,468
  4. Step 4: Simplify right side
    356,888x = 276,116,619,024
  5. Step 5: Solve for x
    x = 276,116,619,024/356,888
  6. Step 6: Final answer
    x = 773,678.63

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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.