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Finding the Third Proportional to 553,831.50 and 829,826

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Solution

The third proportional to 553,831.50 and 829,826 is: 1,243,358.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,831.50 : 829,826 = 829,826 : x
  2. Step 2: Convert to fraction form
    553,831.50/829,826 = 829,826/x
  3. Step 3: Cross multiply
    553,831.50x = 829,826 × 829,826
  4. Step 4: Simplify right side
    553,831.50x = 688,611,190,276
  5. Step 5: Solve for x
    x = 688,611,190,276/553,831.50
  6. Step 6: Final answer
    x = 1,243,358.66

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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.