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Finding the Third Proportional to 657,477 and 890,959.50

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Solution

The third proportional to 657,477 and 890,959.50 is: 1,207,356.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,477 : 890,959.50 = 890,959.50 : x
  2. Step 2: Convert to fraction form
    657,477/890,959.50 = 890,959.50/x
  3. Step 3: Cross multiply
    657,477x = 890,959.50 × 890,959.50
  4. Step 4: Simplify right side
    657,477x = 793,808,830,640.25
  5. Step 5: Solve for x
    x = 793,808,830,640.25/657,477
  6. Step 6: Final answer
    x = 1,207,356.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.