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Finding the Third Proportional to 563,894.16 and 874,475.16

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Solution

The third proportional to 563,894.16 and 874,475.16 is: 1,356,117.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,894.16 : 874,475.16 = 874,475.16 : x
  2. Step 2: Convert to fraction form
    563,894.16/874,475.16 = 874,475.16/x
  3. Step 3: Cross multiply
    563,894.16x = 874,475.16 × 874,475.16
  4. Step 4: Simplify right side
    563,894.16x = 764,706,798,898.46
  5. Step 5: Solve for x
    x = 764,706,798,898.46/563,894.16
  6. Step 6: Final answer
    x = 1,356,117.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.