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Finding the Third Proportional to 483,316 and 710,718

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Solution

The third proportional to 483,316 and 710,718 is: 1,045,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,316 : 710,718 = 710,718 : x
  2. Step 2: Convert to fraction form
    483,316/710,718 = 710,718/x
  3. Step 3: Cross multiply
    483,316x = 710,718 × 710,718
  4. Step 4: Simplify right side
    483,316x = 505,120,075,524
  5. Step 5: Solve for x
    x = 505,120,075,524/483,316
  6. Step 6: Final answer
    x = 1,045,113.50

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Why These Related Problems?

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