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Finding the Third Proportional to 346,745,700 and 508,623,510

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Solution

The third proportional to 346,745,700 and 508,623,510 is: 746,073,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,745,700 : 508,623,510 = 508,623,510 : x
  2. Step 2: Convert to fraction form
    346,745,700/508,623,510 = 508,623,510/x
  3. Step 3: Cross multiply
    346,745,700x = 508,623,510 × 508,623,510
  4. Step 4: Simplify right side
    346,745,700x = 258,697,874,924,720,096
  5. Step 5: Solve for x
    x = 258,697,874,924,720,096/346,745,700
  6. Step 6: Final answer
    x = 746,073,779.50

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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.