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Finding the Third Proportional to 315,659 and 473,854

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Solution

The third proportional to 315,659 and 473,854 is: 711,329.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,659 : 473,854 = 473,854 : x
  2. Step 2: Convert to fraction form
    315,659/473,854 = 473,854/x
  3. Step 3: Cross multiply
    315,659x = 473,854 × 473,854
  4. Step 4: Simplify right side
    315,659x = 224,537,613,316
  5. Step 5: Solve for x
    x = 224,537,613,316/315,659
  6. Step 6: Final answer
    x = 711,329.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.