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Finding the Third Proportional to 253,824 and 377,776

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Solution

The third proportional to 253,824 and 377,776 is: 562,258.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,824 : 377,776 = 377,776 : x
  2. Step 2: Convert to fraction form
    253,824/377,776 = 377,776/x
  3. Step 3: Cross multiply
    253,824x = 377,776 × 377,776
  4. Step 4: Simplify right side
    253,824x = 142,714,706,176
  5. Step 5: Solve for x
    x = 142,714,706,176/253,824
  6. Step 6: Final answer
    x = 562,258.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.