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Finding the Third Proportional to 402,765,873.19 and 601,668,318.94

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Solution

The third proportional to 402,765,873.19 and 601,668,318.94 is: 898,797,018.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,765,873.19 : 601,668,318.94 = 601,668,318.94 : x
  2. Step 2: Convert to fraction form
    402,765,873.19/601,668,318.94 = 601,668,318.94/x
  3. Step 3: Cross multiply
    402,765,873.19x = 601,668,318.94 × 601,668,318.94
  4. Step 4: Simplify right side
    402,765,873.19x = 362,004,766,013,077,248
  5. Step 5: Solve for x
    x = 362,004,766,013,077,248/402,765,873.19
  6. Step 6: Final answer
    x = 898,797,018.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.