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Finding the Third Proportional to 346,952 and 739,709

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Solution

The third proportional to 346,952 and 739,709 is: 1,577,075.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,952 : 739,709 = 739,709 : x
  2. Step 2: Convert to fraction form
    346,952/739,709 = 739,709/x
  3. Step 3: Cross multiply
    346,952x = 739,709 × 739,709
  4. Step 4: Simplify right side
    346,952x = 547,169,404,681
  5. Step 5: Solve for x
    x = 547,169,404,681/346,952
  6. Step 6: Final answer
    x = 1,577,075.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.