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Finding the Third Proportional to 435,482 and 684,333

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Solution

The third proportional to 435,482 and 684,333 is: 1,075,386.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,482 : 684,333 = 684,333 : x
  2. Step 2: Convert to fraction form
    435,482/684,333 = 684,333/x
  3. Step 3: Cross multiply
    435,482x = 684,333 × 684,333
  4. Step 4: Simplify right side
    435,482x = 468,311,654,889
  5. Step 5: Solve for x
    x = 468,311,654,889/435,482
  6. Step 6: Final answer
    x = 1,075,386.94

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.