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Finding the Third Proportional to 364,140 and 745,772

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Solution

The third proportional to 364,140 and 745,772 is: 1,527,368.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,140 : 745,772 = 745,772 : x
  2. Step 2: Convert to fraction form
    364,140/745,772 = 745,772/x
  3. Step 3: Cross multiply
    364,140x = 745,772 × 745,772
  4. Step 4: Simplify right side
    364,140x = 556,175,875,984
  5. Step 5: Solve for x
    x = 556,175,875,984/364,140
  6. Step 6: Final answer
    x = 1,527,368.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.