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Finding the Third Proportional to 297,841,558 and 459,323,369

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Solution

The third proportional to 297,841,558 and 459,323,369 is: 708,356,344.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,841,558 : 459,323,369 = 459,323,369 : x
  2. Step 2: Convert to fraction form
    297,841,558/459,323,369 = 459,323,369/x
  3. Step 3: Cross multiply
    297,841,558x = 459,323,369 × 459,323,369
  4. Step 4: Simplify right side
    297,841,558x = 210,977,957,309,510,176
  5. Step 5: Solve for x
    x = 210,977,957,309,510,176/297,841,558
  6. Step 6: Final answer
    x = 708,356,344.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.