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Finding the Third Proportional to 301,065,765 and 423,973,312.50

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Solution

The third proportional to 301,065,765 and 423,973,312.50 is: 597,056,824.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,065,765 : 423,973,312.50 = 423,973,312.50 : x
  2. Step 2: Convert to fraction form
    301,065,765/423,973,312.50 = 423,973,312.50/x
  3. Step 3: Cross multiply
    301,065,765x = 423,973,312.50 × 423,973,312.50
  4. Step 4: Simplify right side
    301,065,765x = 179,753,369,712,222,656
  5. Step 5: Solve for x
    x = 179,753,369,712,222,656/301,065,765
  6. Step 6: Final answer
    x = 597,056,824.82

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.