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Finding the Third Proportional to 356,913 and 525,501

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Solution

The third proportional to 356,913 and 525,501 is: 773,721.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,913 : 525,501 = 525,501 : x
  2. Step 2: Convert to fraction form
    356,913/525,501 = 525,501/x
  3. Step 3: Cross multiply
    356,913x = 525,501 × 525,501
  4. Step 4: Simplify right side
    356,913x = 276,151,301,001
  5. Step 5: Solve for x
    x = 276,151,301,001/356,913
  6. Step 6: Final answer
    x = 773,721.61

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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.