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Finding the Third Proportional to 334,359 and 651,978

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Solution

The third proportional to 334,359 and 651,978 is: 1,271,314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,359 : 651,978 = 651,978 : x
  2. Step 2: Convert to fraction form
    334,359/651,978 = 651,978/x
  3. Step 3: Cross multiply
    334,359x = 651,978 × 651,978
  4. Step 4: Simplify right side
    334,359x = 425,075,312,484
  5. Step 5: Solve for x
    x = 425,075,312,484/334,359
  6. Step 6: Final answer
    x = 1,271,314.10

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.