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Finding the Third Proportional to 371,148 and 794,784

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Solution

The third proportional to 371,148 and 794,784 is: 1,701,966.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,148 : 794,784 = 794,784 : x
  2. Step 2: Convert to fraction form
    371,148/794,784 = 794,784/x
  3. Step 3: Cross multiply
    371,148x = 794,784 × 794,784
  4. Step 4: Simplify right side
    371,148x = 631,681,606,656
  5. Step 5: Solve for x
    x = 631,681,606,656/371,148
  6. Step 6: Final answer
    x = 1,701,966.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.