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Finding the Third Proportional to 364,142 and 745,776

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Solution

The third proportional to 364,142 and 745,776 is: 1,527,376.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,142 : 745,776 = 745,776 : x
  2. Step 2: Convert to fraction form
    364,142/745,776 = 745,776/x
  3. Step 3: Cross multiply
    364,142x = 745,776 × 745,776
  4. Step 4: Simplify right side
    364,142x = 556,181,842,176
  5. Step 5: Solve for x
    x = 556,181,842,176/364,142
  6. Step 6: Final answer
    x = 1,527,376.25

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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.