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Finding the Third Proportional to 470,352 and 706,602

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Solution

The third proportional to 470,352 and 706,602 is: 1,061,516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,352 : 706,602 = 706,602 : x
  2. Step 2: Convert to fraction form
    470,352/706,602 = 706,602/x
  3. Step 3: Cross multiply
    470,352x = 706,602 × 706,602
  4. Step 4: Simplify right side
    470,352x = 499,286,386,404
  5. Step 5: Solve for x
    x = 499,286,386,404/470,352
  6. Step 6: Final answer
    x = 1,061,516.45

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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.