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Finding the Third Proportional to 302,871,320.44 and 658,808,830.69

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Solution

The third proportional to 302,871,320.44 and 658,808,830.69 is: 1,433,047,786.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,871,320.44 : 658,808,830.69 = 658,808,830.69 : x
  2. Step 2: Convert to fraction form
    302,871,320.44/658,808,830.69 = 658,808,830.69/x
  3. Step 3: Cross multiply
    302,871,320.44x = 658,808,830.69 × 658,808,830.69
  4. Step 4: Simplify right side
    302,871,320.44x = 434,029,075,391,857,408
  5. Step 5: Solve for x
    x = 434,029,075,391,857,408/302,871,320.44
  6. Step 6: Final answer
    x = 1,433,047,786.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.