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Finding the Third Proportional to 295,160 and 442,804

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Solution

The third proportional to 295,160 and 442,804 is: 664,302.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,160 : 442,804 = 442,804 : x
  2. Step 2: Convert to fraction form
    295,160/442,804 = 442,804/x
  3. Step 3: Cross multiply
    295,160x = 442,804 × 442,804
  4. Step 4: Simplify right side
    295,160x = 196,075,382,416
  5. Step 5: Solve for x
    x = 196,075,382,416/295,160
  6. Step 6: Final answer
    x = 664,302.01

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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.