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Finding the Third Proportional to 301,738.50 and 657,585

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Solution

The third proportional to 301,738.50 and 657,585 is: 1,433,088.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,738.50 : 657,585 = 657,585 : x
  2. Step 2: Convert to fraction form
    301,738.50/657,585 = 657,585/x
  3. Step 3: Cross multiply
    301,738.50x = 657,585 × 657,585
  4. Step 4: Simplify right side
    301,738.50x = 432,418,032,225
  5. Step 5: Solve for x
    x = 432,418,032,225/301,738.50
  6. Step 6: Final answer
    x = 1,433,088.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.