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Finding the Third Proportional to 596,862 and 877,675.50

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Solution

The third proportional to 596,862 and 877,675.50 is: 1,290,607.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,862 : 877,675.50 = 877,675.50 : x
  2. Step 2: Convert to fraction form
    596,862/877,675.50 = 877,675.50/x
  3. Step 3: Cross multiply
    596,862x = 877,675.50 × 877,675.50
  4. Step 4: Simplify right side
    596,862x = 770,314,283,300.25
  5. Step 5: Solve for x
    x = 770,314,283,300.25/596,862
  6. Step 6: Final answer
    x = 1,290,607.01

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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.