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Finding the Third Proportional to 317,574 and 493,854

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Solution

The third proportional to 317,574 and 493,854 is: 767,984.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,574 : 493,854 = 493,854 : x
  2. Step 2: Convert to fraction form
    317,574/493,854 = 493,854/x
  3. Step 3: Cross multiply
    317,574x = 493,854 × 493,854
  4. Step 4: Simplify right side
    317,574x = 243,891,773,316
  5. Step 5: Solve for x
    x = 243,891,773,316/317,574
  6. Step 6: Final answer
    x = 767,984.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.