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Finding the Third Proportional to 262,490.63 and 575,829

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Solution

The third proportional to 262,490.63 and 575,829 is: 1,263,203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,490.63 : 575,829 = 575,829 : x
  2. Step 2: Convert to fraction form
    262,490.63/575,829 = 575,829/x
  3. Step 3: Cross multiply
    262,490.63x = 575,829 × 575,829
  4. Step 4: Simplify right side
    262,490.63x = 331,579,037,241
  5. Step 5: Solve for x
    x = 331,579,037,241/262,490.63
  6. Step 6: Final answer
    x = 1,263,203.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.