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Finding the Third Proportional to 369,946 and 553,905

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Solution

The third proportional to 369,946 and 553,905 is: 829,339.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,946 : 553,905 = 553,905 : x
  2. Step 2: Convert to fraction form
    369,946/553,905 = 553,905/x
  3. Step 3: Cross multiply
    369,946x = 553,905 × 553,905
  4. Step 4: Simplify right side
    369,946x = 306,810,749,025
  5. Step 5: Solve for x
    x = 306,810,749,025/369,946
  6. Step 6: Final answer
    x = 829,339.28

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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.