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Finding the Third Proportional to 455,323 and 657,810

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Solution

The third proportional to 455,323 and 657,810 is: 950,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,323 : 657,810 = 657,810 : x
  2. Step 2: Convert to fraction form
    455,323/657,810 = 657,810/x
  3. Step 3: Cross multiply
    455,323x = 657,810 × 657,810
  4. Step 4: Simplify right side
    455,323x = 432,713,996,100
  5. Step 5: Solve for x
    x = 432,713,996,100/455,323
  6. Step 6: Final answer
    x = 950,345.13

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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.