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Finding the Third Proportional to 282,803 and 609,885.50

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Solution

The third proportional to 282,803 and 609,885.50 is: 1,315,263.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,803 : 609,885.50 = 609,885.50 : x
  2. Step 2: Convert to fraction form
    282,803/609,885.50 = 609,885.50/x
  3. Step 3: Cross multiply
    282,803x = 609,885.50 × 609,885.50
  4. Step 4: Simplify right side
    282,803x = 371,960,323,110.25
  5. Step 5: Solve for x
    x = 371,960,323,110.25/282,803
  6. Step 6: Final answer
    x = 1,315,263.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.