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Finding the Third Proportional to 602,010 and 908,119.50

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Solution

The third proportional to 602,010 and 908,119.50 is: 1,369,879.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,010 : 908,119.50 = 908,119.50 : x
  2. Step 2: Convert to fraction form
    602,010/908,119.50 = 908,119.50/x
  3. Step 3: Cross multiply
    602,010x = 908,119.50 × 908,119.50
  4. Step 4: Simplify right side
    602,010x = 824,681,026,280.25
  5. Step 5: Solve for x
    x = 824,681,026,280.25/602,010
  6. Step 6: Final answer
    x = 1,369,879.28

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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.