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Finding the Third Proportional to 292,701 and 608,364

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Solution

The third proportional to 292,701 and 608,364 is: 1,264,453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,701 : 608,364 = 608,364 : x
  2. Step 2: Convert to fraction form
    292,701/608,364 = 608,364/x
  3. Step 3: Cross multiply
    292,701x = 608,364 × 608,364
  4. Step 4: Simplify right side
    292,701x = 370,106,756,496
  5. Step 5: Solve for x
    x = 370,106,756,496/292,701
  6. Step 6: Final answer
    x = 1,264,453.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.