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Finding the Third Proportional to 864,277.50 and 1,308,342

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Solution

The third proportional to 864,277.50 and 1,308,342 is: 1,980,566.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,277.50 : 1,308,342 = 1,308,342 : x
  2. Step 2: Convert to fraction form
    864,277.50/1,308,342 = 1,308,342/x
  3. Step 3: Cross multiply
    864,277.50x = 1,308,342 × 1,308,342
  4. Step 4: Simplify right side
    864,277.50x = 1,711,758,788,964
  5. Step 5: Solve for x
    x = 1,711,758,788,964/864,277.50
  6. Step 6: Final answer
    x = 1,980,566.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.