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Finding the Third Proportional to 381,646,447.50 and 583,569,061.50

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Solution

The third proportional to 381,646,447.50 and 583,569,061.50 is: 892,325,480.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,646,447.50 : 583,569,061.50 = 583,569,061.50 : x
  2. Step 2: Convert to fraction form
    381,646,447.50/583,569,061.50 = 583,569,061.50/x
  3. Step 3: Cross multiply
    381,646,447.50x = 583,569,061.50 × 583,569,061.50
  4. Step 4: Simplify right side
    381,646,447.50x = 340,552,849,539,990,784
  5. Step 5: Solve for x
    x = 340,552,849,539,990,784/381,646,447.50
  6. Step 6: Final answer
    x = 892,325,480.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.