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Finding the Third Proportional to 562,024.83 and 857,030.63

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Solution

The third proportional to 562,024.83 and 857,030.63 is: 1,306,884.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,024.83 : 857,030.63 = 857,030.63 : x
  2. Step 2: Convert to fraction form
    562,024.83/857,030.63 = 857,030.63/x
  3. Step 3: Cross multiply
    562,024.83x = 857,030.63 × 857,030.63
  4. Step 4: Simplify right side
    562,024.83x = 734,501,492,187.89
  5. Step 5: Solve for x
    x = 734,501,492,187.89/562,024.83
  6. Step 6: Final answer
    x = 1,306,884.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.