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Finding the Third Proportional to 577,773 and 832,230

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Solution

The third proportional to 577,773 and 832,230 is: 1,198,752.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,773 : 832,230 = 832,230 : x
  2. Step 2: Convert to fraction form
    577,773/832,230 = 832,230/x
  3. Step 3: Cross multiply
    577,773x = 832,230 × 832,230
  4. Step 4: Simplify right side
    577,773x = 692,606,772,900
  5. Step 5: Solve for x
    x = 692,606,772,900/577,773
  6. Step 6: Final answer
    x = 1,198,752.40

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.