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Finding the Third Proportional to 346,180,249 and 495,005,601.50

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Solution

The third proportional to 346,180,249 and 495,005,601.50 is: 707,812,032.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,180,249 : 495,005,601.50 = 495,005,601.50 : x
  2. Step 2: Convert to fraction form
    346,180,249/495,005,601.50 = 495,005,601.50/x
  3. Step 3: Cross multiply
    346,180,249x = 495,005,601.50 × 495,005,601.50
  4. Step 4: Simplify right side
    346,180,249x = 245,030,545,516,376,800
  5. Step 5: Solve for x
    x = 245,030,545,516,376,800/346,180,249
  6. Step 6: Final answer
    x = 707,812,032.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.