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Finding the Third Proportional to 602,010 and 881,419.50

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Solution

The third proportional to 602,010 and 881,419.50 is: 1,290,510.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,010 : 881,419.50 = 881,419.50 : x
  2. Step 2: Convert to fraction form
    602,010/881,419.50 = 881,419.50/x
  3. Step 3: Cross multiply
    602,010x = 881,419.50 × 881,419.50
  4. Step 4: Simplify right side
    602,010x = 776,900,334,980.25
  5. Step 5: Solve for x
    x = 776,900,334,980.25/602,010
  6. Step 6: Final answer
    x = 1,290,510.68

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.