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Finding the Third Proportional to 368,528 and 774,207

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Solution

The third proportional to 368,528 and 774,207 is: 1,626,461.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,528 : 774,207 = 774,207 : x
  2. Step 2: Convert to fraction form
    368,528/774,207 = 774,207/x
  3. Step 3: Cross multiply
    368,528x = 774,207 × 774,207
  4. Step 4: Simplify right side
    368,528x = 599,396,478,849
  5. Step 5: Solve for x
    x = 599,396,478,849/368,528
  6. Step 6: Final answer
    x = 1,626,461.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.