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Finding the Third Proportional to 430,202 and 668,313

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Solution

The third proportional to 430,202 and 668,313 is: 1,038,215.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,202 : 668,313 = 668,313 : x
  2. Step 2: Convert to fraction form
    430,202/668,313 = 668,313/x
  3. Step 3: Cross multiply
    430,202x = 668,313 × 668,313
  4. Step 4: Simplify right side
    430,202x = 446,642,265,969
  5. Step 5: Solve for x
    x = 446,642,265,969/430,202
  6. Step 6: Final answer
    x = 1,038,215.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.