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Finding the Third Proportional to 502,790.63 and 703,307.81

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Solution

The third proportional to 502,790.63 and 703,307.81 is: 983,792.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,790.63 : 703,307.81 = 703,307.81 : x
  2. Step 2: Convert to fraction form
    502,790.63/703,307.81 = 703,307.81/x
  3. Step 3: Cross multiply
    502,790.63x = 703,307.81 × 703,307.81
  4. Step 4: Simplify right side
    502,790.63x = 494,641,879,123.54
  5. Step 5: Solve for x
    x = 494,641,879,123.54/502,790.63
  6. Step 6: Final answer
    x = 983,792.96

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.