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Finding the Third Proportional to 563,460 and 845,028

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Solution

The third proportional to 563,460 and 845,028 is: 1,267,299.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,460 : 845,028 = 845,028 : x
  2. Step 2: Convert to fraction form
    563,460/845,028 = 845,028/x
  3. Step 3: Cross multiply
    563,460x = 845,028 × 845,028
  4. Step 4: Simplify right side
    563,460x = 714,072,320,784
  5. Step 5: Solve for x
    x = 714,072,320,784/563,460
  6. Step 6: Final answer
    x = 1,267,299.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.