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Finding the Third Proportional to 574,803 and 882,292.50

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Solution

The third proportional to 574,803 and 882,292.50 is: 1,354,272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,803 : 882,292.50 = 882,292.50 : x
  2. Step 2: Convert to fraction form
    574,803/882,292.50 = 882,292.50/x
  3. Step 3: Cross multiply
    574,803x = 882,292.50 × 882,292.50
  4. Step 4: Simplify right side
    574,803x = 778,440,055,556.25
  5. Step 5: Solve for x
    x = 778,440,055,556.25/574,803
  6. Step 6: Final answer
    x = 1,354,272.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.