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Finding the Third Proportional to 296,352 and 459,000

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Solution

The third proportional to 296,352 and 459,000 is: 710,914.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,352 : 459,000 = 459,000 : x
  2. Step 2: Convert to fraction form
    296,352/459,000 = 459,000/x
  3. Step 3: Cross multiply
    296,352x = 459,000 × 459,000
  4. Step 4: Simplify right side
    296,352x = 210,681,000,000
  5. Step 5: Solve for x
    x = 210,681,000,000/296,352
  6. Step 6: Final answer
    x = 710,914.72

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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.