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Finding the Third Proportional to 553,548 and 707,323.50

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Solution

The third proportional to 553,548 and 707,323.50 is: 903,817.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,548 : 707,323.50 = 707,323.50 : x
  2. Step 2: Convert to fraction form
    553,548/707,323.50 = 707,323.50/x
  3. Step 3: Cross multiply
    553,548x = 707,323.50 × 707,323.50
  4. Step 4: Simplify right side
    553,548x = 500,306,533,652.25
  5. Step 5: Solve for x
    x = 500,306,533,652.25/553,548
  6. Step 6: Final answer
    x = 903,817.80

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.