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Finding the Third Proportional to 346,512 and 756,528

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Solution

The third proportional to 346,512 and 756,528 is: 1,651,702.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,512 : 756,528 = 756,528 : x
  2. Step 2: Convert to fraction form
    346,512/756,528 = 756,528/x
  3. Step 3: Cross multiply
    346,512x = 756,528 × 756,528
  4. Step 4: Simplify right side
    346,512x = 572,334,614,784
  5. Step 5: Solve for x
    x = 572,334,614,784/346,512
  6. Step 6: Final answer
    x = 1,651,702.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.