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Finding the Third Proportional to 369,684 and 553,705.88

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Solution

The third proportional to 369,684 and 553,705.88 is: 829,330.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,684 : 553,705.88 = 553,705.88 : x
  2. Step 2: Convert to fraction form
    369,684/553,705.88 = 553,705.88/x
  3. Step 3: Cross multiply
    369,684x = 553,705.88 × 553,705.88
  4. Step 4: Simplify right side
    369,684x = 306,590,196,009.52
  5. Step 5: Solve for x
    x = 306,590,196,009.52/369,684
  6. Step 6: Final answer
    x = 829,330.44

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