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Finding the Third Proportional to 476,907 and 716,283

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Solution

The third proportional to 476,907 and 716,283 is: 1,075,810.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,907 : 716,283 = 716,283 : x
  2. Step 2: Convert to fraction form
    476,907/716,283 = 716,283/x
  3. Step 3: Cross multiply
    476,907x = 716,283 × 716,283
  4. Step 4: Simplify right side
    476,907x = 513,061,336,089
  5. Step 5: Solve for x
    x = 513,061,336,089/476,907
  6. Step 6: Final answer
    x = 1,075,810.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.