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Finding the Third Proportional to 610,530.75 and 897,507

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Solution

The third proportional to 610,530.75 and 897,507 is: 1,319,374.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,530.75 : 897,507 = 897,507 : x
  2. Step 2: Convert to fraction form
    610,530.75/897,507 = 897,507/x
  3. Step 3: Cross multiply
    610,530.75x = 897,507 × 897,507
  4. Step 4: Simplify right side
    610,530.75x = 805,518,815,049
  5. Step 5: Solve for x
    x = 805,518,815,049/610,530.75
  6. Step 6: Final answer
    x = 1,319,374.68

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.