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Finding the Third Proportional to 286,594,548 and 429,441,784.50

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Solution

The third proportional to 286,594,548 and 429,441,784.50 is: 643,488,327.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,594,548 : 429,441,784.50 = 429,441,784.50 : x
  2. Step 2: Convert to fraction form
    286,594,548/429,441,784.50 = 429,441,784.50/x
  3. Step 3: Cross multiply
    286,594,548x = 429,441,784.50 × 429,441,784.50
  4. Step 4: Simplify right side
    286,594,548x = 184,420,246,274,544,448
  5. Step 5: Solve for x
    x = 184,420,246,274,544,448/286,594,548
  6. Step 6: Final answer
    x = 643,488,327.19

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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.