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Finding the Third Proportional to 602,756 and 910,248

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Solution

The third proportional to 602,756 and 910,248 is: 1,374,605.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,756 : 910,248 = 910,248 : x
  2. Step 2: Convert to fraction form
    602,756/910,248 = 910,248/x
  3. Step 3: Cross multiply
    602,756x = 910,248 × 910,248
  4. Step 4: Simplify right side
    602,756x = 828,551,421,504
  5. Step 5: Solve for x
    x = 828,551,421,504/602,756
  6. Step 6: Final answer
    x = 1,374,605.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.