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Finding the Third Proportional to 301,201.50 and 708,534

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Solution

The third proportional to 301,201.50 and 708,534 is: 1,666,726.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,201.50 : 708,534 = 708,534 : x
  2. Step 2: Convert to fraction form
    301,201.50/708,534 = 708,534/x
  3. Step 3: Cross multiply
    301,201.50x = 708,534 × 708,534
  4. Step 4: Simplify right side
    301,201.50x = 502,020,429,156
  5. Step 5: Solve for x
    x = 502,020,429,156/301,201.50
  6. Step 6: Final answer
    x = 1,666,726.19

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.