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Finding the Third Proportional to 588,460.50 and 909,306

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Solution

The third proportional to 588,460.50 and 909,306 is: 1,405,085.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,460.50 : 909,306 = 909,306 : x
  2. Step 2: Convert to fraction form
    588,460.50/909,306 = 909,306/x
  3. Step 3: Cross multiply
    588,460.50x = 909,306 × 909,306
  4. Step 4: Simplify right side
    588,460.50x = 826,837,401,636
  5. Step 5: Solve for x
    x = 826,837,401,636/588,460.50
  6. Step 6: Final answer
    x = 1,405,085.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.