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Finding the Third Proportional to 527,622.19 and 802,095.75

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Solution

The third proportional to 527,622.19 and 802,095.75 is: 1,219,352.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,622.19 : 802,095.75 = 802,095.75 : x
  2. Step 2: Convert to fraction form
    527,622.19/802,095.75 = 802,095.75/x
  3. Step 3: Cross multiply
    527,622.19x = 802,095.75 × 802,095.75
  4. Step 4: Simplify right side
    527,622.19x = 643,357,592,168.06
  5. Step 5: Solve for x
    x = 643,357,592,168.06/527,622.19
  6. Step 6: Final answer
    x = 1,219,352.80

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.