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Finding the Third Proportional to 295,810,542 and 459,863,041.50

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Solution

The third proportional to 295,810,542 and 459,863,041.50 is: 714,896,823.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,810,542 : 459,863,041.50 = 459,863,041.50 : x
  2. Step 2: Convert to fraction form
    295,810,542/459,863,041.50 = 459,863,041.50/x
  3. Step 3: Cross multiply
    295,810,542x = 459,863,041.50 × 459,863,041.50
  4. Step 4: Simplify right side
    295,810,542x = 211,474,016,937,630,720
  5. Step 5: Solve for x
    x = 211,474,016,937,630,720/295,810,542
  6. Step 6: Final answer
    x = 714,896,823.85

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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.