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Finding the Third Proportional to 537,490 and 776,967

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Solution

The third proportional to 537,490 and 776,967 is: 1,123,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,490 : 776,967 = 776,967 : x
  2. Step 2: Convert to fraction form
    537,490/776,967 = 776,967/x
  3. Step 3: Cross multiply
    537,490x = 776,967 × 776,967
  4. Step 4: Simplify right side
    537,490x = 603,677,719,089
  5. Step 5: Solve for x
    x = 603,677,719,089/537,490
  6. Step 6: Final answer
    x = 1,123,142.23

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.