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Finding the Third Proportional to 657,354 and 983,417

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Solution

The third proportional to 657,354 and 983,417 is: 1,471,214.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,354 : 983,417 = 983,417 : x
  2. Step 2: Convert to fraction form
    657,354/983,417 = 983,417/x
  3. Step 3: Cross multiply
    657,354x = 983,417 × 983,417
  4. Step 4: Simplify right side
    657,354x = 967,108,995,889
  5. Step 5: Solve for x
    x = 967,108,995,889/657,354
  6. Step 6: Final answer
    x = 1,471,214.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.