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Finding the Third Proportional to 503,082,817.50 and 799,974,506.25

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Solution

The third proportional to 503,082,817.50 and 799,974,506.25 is: 1,272,075,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,082,817.50 : 799,974,506.25 = 799,974,506.25 : x
  2. Step 2: Convert to fraction form
    503,082,817.50/799,974,506.25 = 799,974,506.25/x
  3. Step 3: Cross multiply
    503,082,817.50x = 799,974,506.25 × 799,974,506.25
  4. Step 4: Simplify right side
    503,082,817.50x = 639,959,210,649,931,264
  5. Step 5: Solve for x
    x = 639,959,210,649,931,264/503,082,817.50
  6. Step 6: Final answer
    x = 1,272,075,269.50

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.